{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "44ac1189b17c37d0",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-04-19T10:02:59.964562Z",
     "start_time": "2024-04-19T10:02:59.656762Z"
    },
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from sympy import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "initial_id",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-04-19T10:03:05.100262Z",
     "start_time": "2024-04-19T10:03:05.038262Z"
    },
    "collapsed": true,
    "jupyter": {
     "outputs_hidden": true
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "x = sin(1)\n",
      "x = 0.841470984807897\n",
      "x = 0.8414709848078965\n",
      "pi的两种显示格式：pi,3.14\n",
      "expr1 = y*sin(y**2)\n",
      "y=5时，expr1= 5*sin(25)\n",
      "y=5时，expr1= -0.661758750488865\n",
      "y=2,z=3时，expr2= sin(2)*cos(2) + sin(3) + 4\n",
      "y=2,z=3时，expr2= 3.76271876040590\n"
     ]
    }
   ],
   "source": [
    "'''\n",
    "例3.1 符号创建、类型转换及subs()方法带入值\n",
    "'''\n",
    "x, y, z = symbols('x y z')\n",
    "m0, m1, m2, m3 = symbols('m0:4')\n",
    "\n",
    "x = sin(1)\n",
    "print(\"x =\", x)\n",
    "print(\"x =\", x.evalf())\n",
    "print(\"x =\", x.n(16))  # 显示小数点后16位数字\n",
    "\n",
    "print(f\"pi的两种显示格式：{pi},{pi.evalf(3)}\")\n",
    "\n",
    "expr1 = y * sin(y ** 2)  # 创建第一个符号表达式\n",
    "expr2 = y ** 2 + sin(y) * cos(y) + sin(z)  # 创建第二个符号表达式\n",
    "print(\"expr1 =\", expr1)\n",
    "\n",
    "print(\"y=5时，expr1=\", expr1.subs(y, 5))\n",
    "print(\"y=5时，expr1=\", expr1.subs(y, 5).evalf())\n",
    "\n",
    "print(\"y=2,z=3时，expr2=\", expr2.subs({y: 2, z: 3}))\n",
    "print(\"y=2,z=3时，expr2=\", expr2.subs({y: 2, z: 3}).n())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "4d8ca594c128dc1c",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-04-19T10:09:25.667215Z",
     "start_time": "2024-04-19T10:09:25.623217Z"
    },
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "m1/m2 + m3/m4\n",
      "(m1*m4 + m2*m3)/(m2*m4)\n",
      "(2*x**2 + 3*x + 4)/(x + 1)\n",
      "(2*x**2 + 3*x + 4)/(x + 1)\n",
      "2*x + 1 + 3/(x + 1)\n"
     ]
    }
   ],
   "source": [
    "'''\n",
    "例3.1 符号函数together()及apart()使用\n",
    "'''\n",
    "x1, x2, x3, x4 = symbols('m1:5')\n",
    "x = symbols('x')\n",
    "print(x1 / x2 + x3 / x4)\n",
    "print(together(x1 / x2 + x3 / x4))\n",
    "print((2 * x ** 2 + 3 * x + 4) / (x + 1))\n",
    "print(simplify((2 * x ** 2 + 3 * x + 4) / (x + 1)))\n",
    "print(apart((2 * x ** 2 + 3 * x + 4) / (x + 1)))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9a0dd188fc9e0ae",
   "metadata": {
    "collapsed": false
   },
   "source": []
  },
  {
   "cell_type": "markdown",
   "source": [
    "例3.3 在用以图形界面上画出$y_1=2sinx, x\\in[-6,6]$; $y_2=cos(x+\\frac{\\pi}{4}),x\\in[-5,5]$"
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "ae99a499f2f0fc19"
  },
  {
   "cell_type": "code",
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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zh/bSOhyv+Iq7Zc3HB89xsrJe42iEEB1pWx7kGzMHYzIZo67khcRHhXJzpnJa9gXZdyuE10jy9gUvu2fdbpuaGhA3T1DqLs3MSMLlgpfzT2gdjhCiA0YvD9IZdfD44d6z2OqbNY5GiMAgyVsbe09VsaekmlCLKaBungBfdZc7eTn/BHaHU+NohBBfZPTyIJ0ZMyCeUf3iaHY4eXPHKa3DESIgSPLWxmr3rNSVo/oatjxIZxaO6kOvmDDO1TSx1n2SVgihDyW2BtYdKQPgDoPWlbyQJZOVfbcy8y+Ed0jy5tZod/CGe1S4ZEqKxtF4X1iImSWTlb+XHFwQQl/e2F6CywXT0xNJTTJueZDO3DhhAGEWM/tOV7OnpErrcIQwPEne3D7Ye4aqBjv94yO4bEhgHFT4oq9MTcVkgs8Pl3GsvE7rcIQQKK341PIgN2cO1Dga30iIDuPK0X0APKf5hRCXTpI3t9XuG8qiySlYzIFxUOGLUhKjmDO0NwD/3SI3UCH0YMcJG0WldUSEmrlmTF+tw/EZdeb/jR2npOOCED0kyRtwoqKe9UfKMZlg8aTAHPmqbnMvCb+5owSndFwQQnOvFSjdB64e3ZfYiFCNo/GdWUN6McAaSVWDnQ/3yb5bIXpCkjdap/FnZfQydDuarrh8RDKxESGcrmpkc7EUzRRCS00tDt7epey1DdQlU5XFbOIW9+BYlk6F6JmgT94cThevbFP2mwTiQYUvigi1cO2YfoCySVoIoZ2PD5Riq7fTJy6cWQG617YtdWVj3ZEyKRguRA8EffL2+eFSTlc1Eh8ZypWj+mgdjl/c5K5h9+6e07L3RAgNqQcVbpo4IGD32raVkhjFrCFKwfBc96BZCNF9QZ+8qUUjb5rQn4hQi8bR+Me0tET6xUdQ09gizeqF0EhFXTMfH1D+/908MbCXTNtSDy68svWk7LsV4hIFdfLW0Ozgw71nALhhQmB1VLgQs9nEDRP6A/C6LJ0KP7HZbOTk5LBw4cIufX1eXh6LFy8mJyeHvLw8li9fTm5uro+j9J+3d56ixelizIA4hveN1Tocv7lqdF9iI0IosTWw9Vil1uEIYUhBnbx9fPAcdc0OBlgjyUy1ah2OX93kTlY/PlBKVb1d42hEoCsoKGD16tXYbDYqKrp2UMZms5GXl8fSpUtZunQpGRkZLFq0yMeR+o+ntlsQzbqBsu/2ylFKSZR3d5/WOBohjCmok7e33Eum14/vHzBN6LtqZL84hveJpdnh5L09cgMVvpWZmUlWVhbp6endelxxcTEul4vCwkKysrJ8FJ3/HT5bw66TVYS0mQUPJteNa03eHLJ0KkS3BW3yVt1o5yP3fq8bxgffzRNaDy7I0qkQ/vWa+//cvOG96RUTrnE0/nfZkN7ERoRwrqaJrUelZJEQ3RW0yduavWdpbnGS0Tuakf2CZ79JW+qIf3NxBadsDRpHI8T5Vq9eTW5uLjk5OSxfvlzrcLzC4XTxurswb6DXdutMWIiZq0bL0qkQlypok7e3dipLpjeMHxB0S6aqAdZIpqYlAq3fDyH0IjMzkwULFrBo0SKysrLIyMhg8eLFnX59U1MT1dXV7d70aOvRCs5UNxIXEcL8kclah6OZ68Yq9Sbf3XNGlk6F6KagTN4q6ppZd6QMgOvH99M4Gm192b10KgV7hd6kp6e32yO3ZMkScnNzsdlsHX79ypUriY+P97ylpOiz6PYad2uo+SP7EB4SHOWJOjJrSC/iIkIolaVTIbotKJM3dZPsmAFxpPeO0TocTV07ph9hFjMHztRw8EyN1uEI4fHFsiBWqxWAoqKiDr9+xYoVVFVVed5OnNBfCyaXy8Wa/UryFixFwTvTdun0HVk6FaJbgjJ5e9uzZBqcBxXaio8KZfZQpS2PWvNOCK3ZbDYWL17cLlFTZ9w6O7EaHh5OXFxcuze9OXS2lmPl9YSFmJkzrLfW4WjuunHupdPdsnQqRHcEXfJ2pqqRLe4p+i+Nk+QN4MrRygzAh+7lHCF8pbMab0VFRaxatcrzvtVqZdmyZe0StZycHBYtWuSZgTOiNfuUAdKsjCSiw0M0jkZ7s4b0Ij4ylLLaJvJl6VSILgu65G3NvjO4XDBpUAL9rZFah6ML80f2wWSC3SVVcupU+ISanGVnZ1NQUHBet4S8vDyys7PbPWbFihWsWrXK81ZeXs4rr7zi79C9St3vdqV7uTDYhVrMXOUePL6zS5ZOhegqk8vlCqq56q//cwufHSrlwWtG8O25GVqHoxuLn9pA/tFKHr5hNN+YOVjrcIToserqauLj46mqqtLFEuqZqkamr1yLyQSbfzqf5NgIrUPShU8PlfKNf26hV0w4m386H4s5OE//C9EdQTXzVtvUwqbCcgAWjAzuzcJfpLar+XCf7HsTwhfUgwoTU6ySuLUxMyMJa5SydLqlWJZOheiKoEre1h0updnhZHBSFBm9o7UOR1cWuk++bSqqkF6nQviAeiBo4ShZMm0r1GLmqlHqqVOpNylEVwRV8rZmn9IOS9njJVPzbQ3uFc3wPrE4nC4+OigHF4TwpupGO5uKlFn/hUFeIqQj6qnT96VgrxBdEjTJm8Pp4mN3L1NZMu2Y59TpXknehPCmTw+WYne4SO8dzZDk4K4t2ZEZnqXTZjYXl2sdjhC6FzTJ244TlVTUNRMXEcLkwQlah6NL6r63Tw+V0mh3aByNEIFDLcMjs24dC7WYuVot2CunToW4qKBJ3tQl03nDkwm1BM1fu1vGDIijX3wE9c0O1rvbhwkheqa5xcknB5T7T7B3VbgQden0g71ncMrSqRAXFDRZzFr3Sa8FcvPslMlk8vxykaVTIbxjU1E5NU0t9IoJZ0KKzPp3Znp6ErHhIZTVNrPzpE3rcITQtaBI3o6V13H4XC0hZhNzpSXNBanFQ/P2n5WNw0J4gVqYd8HIZKlhdgGhFjNzhiv354/cM5VCiI4FRfKWt1+5EUwZnEh8ZKjG0ejb1LRE4iJCKK9rpuB4pdbhCGFoLperTVcFmfW/mPkjkgFYu1+SNyEuJCiSN1ky7bpQi5n57tO4a6TXqRA9srukijPVjUSFWZiZ0UvrcHRv3vBkzCbYd7paWvUJcQEBn7xVNdg9VbsXjEzWOBpjUPe9fbD3DEHWPU0Ir1IHQHOG9iYi1KJxNPqXGB1GZqqyL1CWToXoXMAnb58eKqXF6WJIcgyDkqSrQlfMGdabsBAzx8rrOXyuVutwhDAsWTLtvivcg2xJ3oToXMAnb54lUynM22XR4SFcNkRZ4lFb+gghuud4eT0HztRgMZu4YoTM+nfV/BHKvXr9kTIamqXepBAdCejkze5w8vEBtauC3Dy7w1MyRPa9CXFJPtynDHymDE7AGhWmcTTGMaxPDAOskTS1OKXepBCdCOjkbevRSqobW0iMDmNiqtRX6g6l/yvsOlklG4eFuATqwOdKaUTfLSaTyTPYXitLp0J0KKCTN3XJdN7w3lJfqZt6x4YzyZ3w5u2X2TchuqOirpmtR5WDUtISq/uucG9z+ejAWTk0JUQHAjZ5c7lcnqRjoex3uyTSqF6IS/PRgXM4XTCyXxwpiVFah2M409ISiQqzcLa6ib2nqrUORwjdCdjkrbC0jqPl9YRZzMyWrgqXZKF7uWdTUTlVDXaNoxHCONSDPjLrdmkiQi2eQ1NSsFeI8wVs8qYumU5LTyQmPETjaIwprVc06b2jaXG62FgoG4eF6IpGu4PPDyv/X6QR/aVb0GbpVAjRXgAnb8poTUa+PTNnqDJr+ekhSd6E6Ip1h8tosDvoHx/B6P5xWodjWPNGKPeenSerOFfTqHE0QuhLQCZvlXXNbD2mbBaW+ko9M9e95PzZoVLZOCxEF6glQhaO6oPJJAelLlVybATjB8YD8MmBUo2jEUJfAjJ5+/igsll4RN9YBibIZuGemJaeSJjFTImtgeKyOq3DEULXHE5Xm1l/KRHSU1e4C/bKiXch2gvI5E2WTL0nKiyEyYOVkiGfHZLRrxAXUnC8kvK6ZmIjQpiWnqh1OIY3313vbd2RMhrt0m1BCFXAJW/NLU4+dScZ86VEiFfMdu97UzdhCyE69slBZeA4b3gyoZaAu7363ej+cfSJC6e+2cHWo5VahyOEbgTc3WVzcTm1TS30jg1n3IB4rcMJCHOGKUf2NxaV09zi1DgaIfRrnXuAM2doL40jCQwmk4nLhiiDx3XSKksIj4BL3tQl0/kjkjFLVwWvGNk3jl4x7tGv+yCIEKI9W30zu0qqgNbZatFzlw1NAmDdEdm2IYQqoJK3tl0VZMnUe8xmE7PdMwmydCpExzYUluNywZDkGPrGR2gdTsCY5S7Wu/dUNRV1zRpHI4Q+BFTydqy8npOVDYRaTMwakqR1OAFFXTqVQwtCdExd1lM7AwjvSI6NYHifWFwu2CDFwoUAAix5W+/+j52ZmkBUmHRV8CZ138neU9WU1jRpHI0Q+qPud5Pkzfsuc8/8r5d9b0IAgZa8ycjXZ3rHhjOqn1ItXm6gQrR3vLye4xX1hJhNTM+QWX9vU+/pnx8uk2LhQhBAyZvD6WJDYTkAs+Skl0/MadNtQQjR6nP3ZvqJqVbppewD09ITCbWYOFnZwLHyeq3DEUJzAZO87TtVja3eTmx4iJQI8RHPvjcZ/QrRTuuSqZwy9YWosBAyU5Vi4VIyRIgASt7U/9DT0pMIkeKYPjFpUAKRoRbKapvYf7pG63CE0IW2s/6Xyay/z6hLp+vkxLsQgZO8te53k/0mvhIeYmGGez/PZ4dl6VQIgN0lVVQ12ImNCPE0UhfepybGGwrLcDhl5l8Et4BI3hrtDvKPKsVjZeTrW3M89d4keRMCYJ37/8IMmfX3qbED4omNCKG6sYXd7mLIQgSrgLjTFByrpKnFSZ+4cDJ6x2gdTkCb7T60kF9cSX1zi8bRCKE9tXD1bBk4+lSIxcxM98y/nHgXwS4gkjd1v9usIb0wmaQlli+l94pmgDWSZoeTzUXSKksEt/rmFgqOKw3TL5OWWD7XWjJEZv5FcAuI5E0dhc3KkJGvr5lMptaSIXIDFUFuc3EFdoeLAdZIBidFaR1OwFMT5IJjNpn5F0HN8MlbVb3d0wx6lhTn9Qt135vUexPBrm1XBZn1973BSVGemf8txTLzL4KX4ZO3jUVl0gzaz2YO6YXFbKKwtI4SW4PW4QiDsNls5OTksHDhwi4/ZtWqVeTk5JCTk8OqVat8GN2l8SRvst/NL0wmk2fpVPa9iWBm+ORNmkH7X3xkKBNSrAB8LrNvogsKCgpYvXo1NpuNioquzZioyVpWVhZZWVlkZmaydOlSX4bZLeeqGzl4tgaTSWb9/WnW0NZWWUIEK8Mnb+uPuFtiyc3Tr9STdbLvTXRFZmYmWVlZpKend/kxK1euJCsry/P+ggULyMnJ8UV4l0QdOI7uH0didJjG0QSPWe4TpwfO1FBa06RxNEJow9DJW4mtgeKyOixmE9PSE7UOJ6iohxbWHZaCmcL7ioqKsNlsWK3W8z6Xl5fn/4A6IC2xtJEUE86ofnGAUrBXiGBk6A7K6p6H8QPjiYsI1Tia4DJ+oNVTMHPvqSrGDbRqHZLwF5cLzuyGoo+h9CBUHgPbMWhpAksYWEIgwgq9R0DyCBgwCVJngKXr/0eLioo6/LjVasVms3X4uaamJpqaWmdiqquru/O36haXy+WZeZP6bv43e2gv9p2u5vPDZdw4YYDW4QjhdwGRvMmSqf9ZzCampSWSt/8cm4rKJXkLBifyYduzcCQPas9e/OtP72i9Do+HoQvpV90fE5c+U5uYmNjpnrmVK1fy8MMPX/Jzd8ehs7Wcq2kiPMTMpEEJfnlN0WrWkF5kf1bE+iNluFwuOekrgo5hkzeXyyXJm8ampyeRt/8cGwvLyZqToXU4whccLbD/Ldj0JJzMb/14aDSkzVZm1RIGg3UQhEWBww7OFiW5O3cAzu2D4s+gvgz25DILePXyUNjyNEy4HcKiuxXOhQ47rFixgvvvv9/zfnV1NSkpKd38C3eNWiR2aloiEaEWn7yG6NzUtETCQsycrmqksLSOIcnSWUcEF8MmbwfP1lBW20xkqIWJqVatwwlK09OVjcP5RytpcTilr2OgOfQBvP8gVLiXMC1hMHYJjFsCqdMhJPzCjx95vfKn0wEnt8L+t2je/AyDYhrg3Z/A53+Cq34Lo2+GL8ycdHawwWazdfq58PBwwsMvEpOXrJclU01FhFqYMjiB9UfKWX+kTJI3EXQM+9tW3Sw8NS2R8BAZ+WphVL844iNDqW1qYc8p3+0vEn5WeRRevA1eXKIkblG9YO6D8KO9cNPfIH3uxRO3tswWSJ0GV/2Wd4b/kUd29wJrKtSchty74F83Qumhdg9JT0/HarV2uPdtwYIFPfwL9kxzi5PN7gKxclhBO7OGSMkQEbwMm7ytl/pumjObTUxNU075biws1zga4RU7X4InZ8Kh98AcAjPvgx/sgMtXQExyj5++tKqe1UetcG8+zPsphERA8ae4/j6Dz357Azidnq9dsWJFu5Olubm57UqHaKXgeCX1zQ56xYQxom+s1uEErdnuxHlTUTktDudFvlqIwGLI5K3tyFf2u2lrhnvpdFORJG+G1lwPb94Lry8Fex0MmgXf2QBX/hrCe56gFBUVsWrVKrKzsykoKGD5zx4itywDvrsJhl2NydnCHPun8OJiqFN+lpYtW4bNZiM3N5fc3Fzy8/PJzs7ucSw9pc76z8zohdksG+W1Mqp/HNYoZeZ/50mb1uEI4VeG3PO286SN+mYHSdEy8tXajAx131sFdoeTUNn3ZjxlR2D115TDBZhg3gqY8xNludNL0tPTWbZsGcuWLTv/k7e/DNtfgHd+rJxkzZ4DS56HgZPbff2iRYu8Fk9PrC+Ullh6YDGbmJXRi3d2n+bzw2VMGiS1PkXwMORvWnXkOyMjSUa+GhveJ5aEqFDqmx3sLqnSOhzRXSXb4JmFSuIWnQxffxPmLfdq4tYlE78K96yFpCFQfRKeuw4OvOvfGLqgrqmFXSeVn3N11lloZ5b0ORVBypDJm+x30w+z2cS0NOWXmOx7M5jCj+G566GhAvpPhG+vUw4jaKXPaLjnYxh2NbQ0wstfhYJ/aRdPBwqOV+JwuhhgjSQlMUrrcIKeetp3+3EbtU0tGkcjhP8YLnmrabSz/YQNkP1uejHd3ZpM9r0ZyN43lNOk9jpImwvfeBti+2gdFUTEwa0vwMQ7wOWEt76vlBTRic1Fyl7baWmyRKcHKYlRpCZG0eJ0saVY7j8ieBguedtSXIHD6WJQUpSMfHViRoaSRG89Wklzi5z60r3t/4FX7gRHM4y8Ab76ilcOJXiNJQRueAIucxfcXfsr+PzP2sbkttmdIEgvZf1QB4/qITahYw671hEEDMMlb+rszswM2W+iF0OTY0iMDqPB7mCXnPrSt31vKrNZuGDSnbD4ue7VbPMXkwkWPAQLfqm8v/Zh2PikpiE12h3sPKHsd1O3Cgjtqf8WWyR507fGavjHfNico3UkAcFwyZs6upoum4V1w2w2ydKpERR9Aq/erSxHZn4DvvSY/w8mdNdlP1JOvwJ8sAK2/lOzUAqOV9LscJIcG86gJJn11wu11uTuk1XUN8u+N11y2GH11+H0TvjsD1AviXZPGSp5q21qYY/7ROOUwbJsoSfqybuNkrzpU8k2eOmrrUulX3r0vJZUujV3uZLEgVJO5OD7moTh2e+WniSN0HVkYEIk/eMjaHG62H7cpnU44otcLnj7B1D0MYRGKaWBouT3d08ZKnnberQCpwtSEiPpb43UOhzRhjoTuu1YJU0tDo2jEe2UF8J/FkFzrXI44ZZ/6H/GrS2TCeY/pMwWupxKS63TO/0ehme/mxxW0BWTqbXTi+x706FPfg87XgCTWdmmMSBT64gCgqGSN3VPg+w30Z8hyTH0igmj0e707AsSOtBUAy/d3loO5LYX9LnH7WJMJrjuT5B+uXJC9sVboarEby/f1OLwzOpMl8MKujPV/Tths8z860vBv+HT3yvX1/0Zhl2lbTwBxJDJ21QZ+eqOyWRiWrrUe9MVpxNe/zaUHoDYfvCVl/R1qrS7LKFK54XeI5Sm9i/eCk21fnnpXSeraGpx0ismjIzeMX55TdF16unf7SdsMvOvF8WfKculALN/DJO/qW08AcYwyVtDs8PTv266zLzpkvQ51ZnPVsGB/4ElDG79D8T21TqinouIh9tXQ3RvOLsb3r5P2VPjY+qMztS0RNnvpkPpvaLpFRNGc4vT0wFDaKj6lLK9weWAsYvhip9rHVHAMUzytv1EJXaHi75xEaQkyn43PfLsezteSaNdRr+a2v8/+GSlcv2lx2DgZE3D8aqEQUoyag6BPa9C/j98/pKbZcuGrrXd9yYlQzTmsCt1JOtKoc9YuP4vxjkcZSCGSd7Uk14y8tWvjN7R9I4Np7nFyQ53FwyhgfJCeH2pcj3t20rf0ECTOh0W/kq5fn8FnNzms5eyO5xsO1YJSHFePZs6WA4t6MKaX8CJzRAer2xzCJOyOr5gmOTNc1hBbp66ZTKZPLNvsu9NI44WZZ9bcy0MmgVX/kbriHxn+ndh5PXgtMMr3/BZ7ajdJVXUNzuwRoUyLNnAewYDnHpoYdvRCloc0ulFE3teg03uYtpf/jskZWgbTwAzRPLW1OKg4Lh75CuHFXRN6r1pbP1jcHILhMfBl7OVTf6BymSCG/8GielQdQLe+K5P9r95Zv0HJ2I2y6y/Xo3oG0tcRAh1zQ72nqrWOpzgYzsBb92nXM/6IYy4TtNwAp0hkrfd7pNeSdFy0kvvZrjblu04bpN9b/52emfrPrdrVoE1Rdt4/CEiHpb8SzmUceg92Plfr7+E2vBcTrnrm9ks+94043Ipbfeaa2DgVDmg4AeGSN42F8t+N6MYnBRFn7hwmh1OCtz7hIQf2BvhtSxwtihLieNv0zoi/+k7FuY9qFy/96By0s1LHE4XW48qP8fSkk//pFivRgqeVzoohETATX8HS4jWEQU8wyVvQt9MJpOUDNHCR79W6rlFJ8OXHg++010zfwD9M6GpCt7+odeWT/edqqamqYXYiBBG9ovzynMK31H3veUfrcDp9H0JGYGyXPrBz5TrK34OvYZoG0+Q0H3y1uJwsu2oHNM3kumy782/ij+HjX9Trm98AqKD8P+JJcQ94g+Dwx94bflUbYk1ZXAiFtnvpntj+scRFWahqsHOwbM1WocT+Noul6ZMh+nf0TqioKH75G3vqWrqmh3ERYQwvK+c9DICz763EzYammXfm081VsEb3wFcSu/PYG4/kzwC5q1Qrt97EKpP9/gpN6nN6GXW3xBCLGYmDUoAZN+bX2x7rnW59Ma/GatnssHpPnlr2xJLRr7GkJoYRb/4COwOl+eUsPCR9x5UTlpaB8FVv9U6Gu3NvA8GTFKWT99b3qOncjpd5Kuz/rLfzTCmyaEF/7Adhw9luVQruk/eZL+b8ZhMJqa4C2aqv/yED+x/G3a+CJiUsiBG7lvqLZYQuPFJZfm06KMePdWBMzVUNdiJDrMwpr/sdzMKT5P64gpcfmidFpRcLqUsSHOtLJdqRNfJW9uR71TZ72YoU9IkefOp2tLWps+zfgCDZmgbj54kj4DLf9r6/iUun6olQiYNTiTEoutbpWhj3MB4wkLMlNU2UVRWp3U4gUmWSzWn6zvSwbPKyDdKRr6Go7aqKThmwy7Vzr0v7yGoL4c+Y9onKkIx4/vQb4Jy/d6ySzp92trPVGb9jSQi1MLEFCsgS6c+0Xa5dP4vZLlUI7pO3ja7TytOGpQgI1+DGZocQ3xkKA12qXbudSe2wI4XlOsvPQYh4ZqGo0uWEPjSo8p10cet368ucrlcrS35JHkzHNn35iOe06Xu5dJp39Y6oqCl64xoi3vJTYpjGo/ZbGLKYOXUV77cQL3H6YB3H1CuJ3wVUqZoG4+e9Rraev3hz7rV+/TIuVrK65qJCDUzbqDV+7EJn1K32Ujy5mU7XoSiTyAkEm56UpZLNaTb5K3tyFcOKxiTemhhi+x7857t/4bTO5TepQt+qXU0xtBrODRUtrYO64JN7ntPZmoCYSG6vU2KTmQOshJiNlFia+BkZb3W4QSGphpY+7ByffkKaTqvMd3elQpL6yirbSY8xMy4gfFahyMugXpoYatUO/eO+grIc988562AmGRt4zGKBe7vWf4zcHZflx6ibtmQwuDGFBUWwpgByu+NzUUyePSKdY9C7VlITIdpcrpUa7pN3tRZt4mpVsJDZGrWiMb0jyci1ExlvZ3C0lqtwzG+j38HDRXQeyRMvUfraIwj7TKl36vLAe8/eNHDCy6Xq/WwQrrM+huV+m8nS6deUHkMNjyhXF/5GwgJ0zYeod/kTW1LIyVCjCssxMwE96mv/KNSrLdHzuyGrc8o19euAkuotvEYzcJfgyUcij+Fg+9e8EuPltdTWtPU7udXGI/n0IJs2+i5vF+CowkGz4bh12odjUCnyZvL5fJMdU+X/W6GNlWK9facy6UcUnA5YfSXIW2O1hEZT2IazPyecv3BT8He2OmXqkumE1KsRITKrL9RTRqUiMkExWV1nKvu/N9bXMTxTbD3NcAEV68Ek3Q60gNdJm8nKxs4U91IiNnExNQErcMRPTBFjuz33O5X4PhGCI1SlizEpbnsfojtB5VHYdOTnX6ZumQqA0dji48MZWRfpT6ozL5dIqdT2WoAkPl16DtW23iEhy6Tt03uke+4gfFEhsnI18gyUxOwuE99nbI1aB2O8TTVwIc/V65n/xjiB2obj5GFx7QeXvjsjx12XlBm/d2HFaREkeGp+97k0MIl2r0aTm2HsFi44mdaRyPa0GXy5imOKTdPw4sOD2G0uzuGLJ1egk9XQe0ZSEiDmd/XOhrjG7sYBk4Bex2s/dV5nz5Z2cCpKnXW3+r/+IRXSbHeHmiuU/a6Acz5sZxu1xldJm/SjD6weOq9yQ20e8oOw6a/K9fXPCKdFLzBbIarH1Gud74IJ7e1+3TbWf+osBB/Rye8TL33HDxbQ2Vds8bRGMz6v0DNabCmSmkQHdJd8na6qoHjFfWYTTB5kOx3CwRT5NDCpfnw5+C0w9CrYNhVWkcTOAZOUrpTgNL31Nnae1f9GZVT7oEhKSacIckxgNx/uqXqJKx/XLle+GsIjdA2HnEe3SVv6uzM6P7xxEZIOYRAoLbJOnS2Vka/XXV8Exx6D0wWuOp3WkcTeOb/AsJioGSrsq/HbesxpaSN+jMrjE9dwdksM/9dl/cwtDRA6kwYdaPW0YgO6C55kyXTwJMUE05G72ig9ZejuACXq7WTwsQ7oNcQbeMJRLF9Yc5PlOu8h8HeSEVdM0WldQBMkln/gCH73rrppDqgMcHVv5PSIDqlu00dk1ITOFvVyOyhvbQORXjRlMGJFJbWsfVoBQtH9dE6HH07kgfHNyhFZecu1zoar1q1ahVWqxUAm83GsmXLLvj1eXl5ZGdns3DhQtLT01mzZg1Tpkxh0aJFPQ9m+ndhyz+g+iRsfYZt8cpzDk2OwRolFeQDhToRsPdUFTWNdlnRuRCXq7U0yITbof9EbeMRndLdzNstkwbyzJ1TmDdcTrYEEmlS30VOZ+us27QsiB+gbTxetGrVKgCysrLIysoiMzOTpUuXXvAxNpuNvLw8li5dytKlS8nIyPBO4gbKAZB57uT48z+xq+gEAJNlyTSg9IuPJDUxCqcLtsnM/4XteRVO5kNoNFzxc62jERegu+RNBCZ19Lv7ZBUNzQ6No9Gxva/B2d0QHqcUlQ0gK1euJCsry/P+ggULyMnJuejjiouLcblcFBYWtnu8V4y/HRIzoL6c/vufA5TK/CKwTJWl04uzN7aWBrnsRxDXT9NwxIVJ8ib8YmBCJH3jImhxuth+Qka/HXLY4SN3B4WZ34eowEkiioqKsNlsniXTtvLy8vwfkMoSAlf8HwBfqs3FSo2ccg9AcmihC7Y9B1UnIG5Aays5oVuSvAm/MJlMnlZZ+cWSvHVo+7+hshiiein7sQJIUVFRhx+3Wq3YbLYLPnb16tXk5uaSk5PD8uU+2AM46svUJ4wk1tTAjyLfZVBSlPdfQ2hqurv0y66TNhrtMvN/nuZ6WPdn5XrOAxAaqW084qIkeRN+M9W9l0jqLXWguV7ppgDKzTM8Rtt4/CQxMZGKis5/HjIzM1mwYAGLFi0iKyuLjIwMFi9e3OHXNjU1UV1d3e6tS8xmPhn4bQC+wvuYas50++8h9C0lMZLk2HDsDhc7T9i0Dkd/tv4Tas8qBXnVGohC1yR5E36jzrwVHK+kxeG8yFcHmS05SjXz+FSY/E2to/GbCyVuAOnp6aSnp3veX7JkCbm5uR3O1q1cuZL4+HjPW0pKSpfjeK1mNFudwwhzNcHnf+zy44QxmEwmz0EUKVf0Bc11sO5R5XrOMgiRk9ZGIMmb8JthybHER4ZS3+xg76kuzooEgwZb683z8hUB2QarbQLWls1m6/RzALm5ue3eV/fMdbQMu2LFCqqqqjxvJ06c6FJsLpeLbccr+YP9VuUD256DiuIuPVYYh3oQZavM/Le35WmoL1P6J4+/TetoRBdJ8ib8xmw2eTaDy9JpGxv+Ao026D0Cxt2qdTQ+kZ6ejtVq7TDpWrBgQYePsdlsLF68uN1j1Bm3jhK+8PBw4uLi2r11RWFpHZX1dnZYRuNMvwKcLfDpI116rDAO9d6z7VglTqdL42h0oqmmtQ3W3OVgkRp4RiHJm/CryYPV0a8sXQBQc7a1+fwVPwezRdt4fGjFihXtTpbm5ua2K/1RVFTkqQUHyizbsmXL2iVqOTk5LFq0qMNTq5dq2zFlIDE+xYp5/s+UD+58Cc4d8NprCO2N6h9HZKiF6sYWjpTWah2OPmzOhoYKSBoCYzveSyr0SZI34Vdt9524XDL65fM/gr0eBkyGEddpHY1PLVu2DJvNRm5uLrm5ueTn55Odne35vNpNoa0VK1awatUqz1t5eTmvvPKKV+NSBxKTByXAgEkw4kuACz7+rVdfR2gr1GJmQooVkMEjAI1VsOGvyvXcB5WyOcIwTC75DSr8qNHuYOwvP8DucPHZA5eTGsxlGapPw+PjwdEEX38T0udpHVFAqa6uJj4+nqqqqgsuoV7xx08oKqvj2TuncPmIZDi3H56cAbjgno9hQKb/ghY+9acPD/LXj45wc+YA/rxkgtbhaOuTR+CT30Gv4fDdjQE96x+IZOZN+FVEqIUxA+IB2HosyPe9bfiLkrilTIe0uVpHE5TKapsoKlOa0WemuovzJo+EcUuU609XdfJIYUST2ux7C2oNlbDxb8r1vAclcTMgSd6E36kbh4P6yH5tKWx9Vrme+wCYTNrGE6TUX+LD+sQQH9Vms/acBwATHHoPTu/UJjjhdZmDEjCZ4Fh5PaU1TVqHo52NT0JTFSSPglE3aR2NuASSvAm/U4/sbwvmfScb/wotDdA/EzLmax1N0FKTt/P6mfYaCmNuUa4/+4OfoxK+EhcRyvA+sUDrQZWgU1/Rekhq3gowSxpgRPKvJvxOXbo4dK6Gqga7xtFooK4ctvxDuZ67TGbdNKTW/Oqwn+mcnyh/7n8bzu7zY1TCl9T7T9AeWtjwV2iugb5j3YdzhBFJ8ib8rndsOIOTonC5lG4LQWfTk2CvU26ew67WOpqg1Wh3sLukCoApgxPP/4LkkTDqRuVaui4EjKDutFBXppQHAZj3U5l1MzD5lxOaCNql0wab0goLlFY0MuummV0nq7A7XPSODSclsZNG3HMeUP7c8xqUHvJfcMJnJrvvPXtPVQVfk/r1jysDx34TYPg1WkcjekCSN6GJ1tFvkO072ZwNTdXKRmFZstCU+rM3eVACps6S6L5jYfh1gAs+/5P/ghM+MzAhSJvU15YqrbAALv8/GTganCRvQhPqHqMdJ2zYg6VJfWO1smQKMPvHsmShMXXWd1JH+93amuuefdu9GsoLfRyV8LWgbVK/+e/uQ1ITYehCraMRPSS/PYQmMnrHEB8ZSqPdyb5gaVKf/7TSwzRpKIz+stbRBDWnU2lGD60t2zrVfyIMWQguJ6z7sx+iE77m2bYRLMlbY1XrrNvsn8isWwCQ5E1owmw2tZ76CoYbaHNda1HM2T+WopgaKyqrxVZvJyLUzOj+XWhgP3eZ8ufOl6DymG+DEz4XdE3q859Rtmv0HgHDr9U6GuEFkrwJzbRWOw+CfW9b/wn15ZAwWBpA60C+e8l0QoqVUEsXboMpU5X2Zc4WWPeob4MTPqc2qa9qsAd+k/rm+taB42U/ku0aAUL+FYVmJreptxTQLXbtDbD+L8r17B9LA2gdaG1Gf5El07bmLlf+3P4fqCrxQVTCX0ItZsanuNv0BfqJ9+3/gfoysKa2Fp4WhifJm9DM+BQroRYT52qaOFnZoHU4vlPwL6g7B/EpMO42raMRtM72Thp8kcMKbQ2aCYNmgdPeevBEGJaauAf0iXeHXemhDDDrB2AJvfDXC8OQ5E1oJiLUwuj+Ad6kvqUJ1j2mXF/2QwgJ0zIaAZTWNHG0vB6TqU0z+q667H7lz63PKm2GhGGpiXtAH1rY/QpUnYDoZJhwh9bRCC+S5E1oqu3G4YC062WoOQWx/eTmqROeZvTJscRHdnMmYsh86DNWKXSa/w8fRCf8JTM1wJvUO52t+zNn3AuhEdrGI7xKkjehqYDuM+h0tu51m/5duXnqhKefaXeWTFUmkzKDCkpz7+Y67wUm/Co+MsCb1B/4H5Qdgoh4mHyX1tEIL5PkTWhKXbo4eLaG6sYAa1J/8B0oP6zcPCfdqXU0wk0tTXNJyRvAqJuUU8MNFcpmcGFYATt4dLXpCDI1CyK6UA5HGIokb0JTybERpCYqTeq3H7dpHY73uFytSxZT7pabp0402h3sPaU0o+/WSdO2LCEw8z7lesNflU3hwpACttNC4UdwegeERsG072gdjfABSd6E5jz73o4G0NLF0XVQsg0s4TDt21pHI9x2nrBhd7hIjg1nYEInzei7YsJXlU3gVSdgz6veC1D4VcA2qVcHjpPuhOgkTUMRviHJm9DcpEAc/a5/TPlz4lchJlnTUESrtkumnTaj74rQCJjuntFY95iyv1EYTkA2qT++GY5+DuZQmPE9raMRPiLJm9CcOvrdccJGSyA0qT+zG47kgckMM7+vdTSiDfWwwqRLXTJta8q3IDwOSvfD4Q96/nzC7wKySb3af3f8bRA/QNtYhM9I8iY0NzQ5hriIEOqbHew/XaN1OD23/nHlz1E3QWK6pqGIVk6ny1MmZMqlHlZoq+0pvs//rOxzFIYTUE3qz+6DQ+8DJpj1Q62jET4kyZvQnNlsItPTpN7g+94qj7bugVJLSghdOFJaS3VjC5GhFkb289IBkunfUfY1ntwCxzd65zmFXwVUk/oNf1X+HHUD9BqibSzCpyR5E7rg6XNq9NHvhifA5YT0y6HfeK2jEW1s7W4z+q6I7QsTbleupWG9IbVtUl9o5Cb1VSWwe7VyPesH2sYifE6SN6ELnqULIzeprytrrft12Y+0jUWcR53VveT6bp2Z+X1lf+PhD+HMHu8+t/C5dk3qjTx43Px3cLbAoMtgwCStoxE+Jsmb0IUJKVZCzCbOVDdSYjNok/rN2dDSAP0nQtocraMRX6DOvKmFWb0mKUPZ3witp4yFoXia1Bu1WG+DDbY+p1zLrFtQkORN6EJkmIXR/ZV9SIbcONxUC1tylOtZP1TaKAndOFfTyPEKdzN6bydv0PoLc89rYDvh/ecXPtVarsige263PQvNNdB7JAxdqHU0wg8keRO6McnIo9+C56HRBokZMPJ6raMRX7DN/TM1vE8scRHdbEbfFf0nKLOtLofS81QYiqGb1Lc0waanlOtZ98nAMUhI8iZ0w7D1lhx22Pikcj3rPjBbtI1HnEedzfX6kmlbM92zbwXPK8tYwjDiI0MZlmzQJvW7VkPtGYjtD2MWaR2N8BNJ3oRuqL9YD56ppsZITer3vg7VJ5V2SeNu0zoa0YFtx3vYjL4rhsyH5NHQXAtb/+m71xE+4Vk6NdLMv9PZWh5k+ncgJEzbeITfhGgdgBCqPnERDEyI5GRlAztO2Jg9tLfWIV2cywXr/6JcT8tS2ibp1I4dO8jLy6O8vJyioiISExPJyMjAarWyZMkS4uK8VPtMZxrtDvaUKM3oJ6V6obNCZ0wm5eTpG9+GzU/BjHshJNx3rye8asrgBF7cfNxYM/+HP4Cyg0qnj0l3ah2N8COZeRO64qn3ZpTRb9HHcHY3hEbB5G9pHU2H/vCHPzB58mRWrlxJfHw8kydP5sEHH2TRokWkpaVRWVnJ3Xffza233spHH32kdbhet/dUFXaHi14x4aQk9qAZfVeMuUVZvqo9C7tf8e1rCa8yZJN6deA4+ZsQEZiDL9ExmXkTujJpcCJv7DhlnBOn6pLFxK9BlA9ndS5BcXExjzzyCEuWLOGBBx7o0mP+8Ic/sGbNGlauXOnj6Pxnh7vh+ORBPWxG3xUhYTD927DmF8rPxvjbwSxjZCNQm9Sfq2li5wkb09KTtA7pwk5sgeMblAb0076jdTTCz+SuInRFnXnbfrxS/03qz+yGwo+UAq0zvqt1NO1UVVWRm5vLU089xRVXXNHlxz3wwAM8+OCD/PGPf/RhdP6lJm8+PazQ1qQ7ISwWSg/AkTX+eU3RY4ZrUq/2UB5/K8T10zYW4XeSvAldGdYnltjwEOqaHRw4o/Mm9RueUP4cdSMkDNY0lC+Kj4/v8mxbR4/9yU9+4uWItLPzuA3wUX23jkTEw+Q7lWt1WUsYgmGa1JcdgQPvKNcz79M2FqEJSd6ErljMJia2aRStW1UnYU+ucm2Qm+fRo0d57bXXtA7D7yrq7YRZzIwZ4Mc9QdO+A+YQOLYOSrb573VFjximSf2mvwEuGHY19B6udTRCA5K8Cd0xRJP6zU8pfQQHz4YBmVpH0yVPPfUU2dnZ7T62du3aoEjoxg6MJzzEj/X34gfA2MXKtbovUuieIZrU15bCjheVa4MMHIX3SfImdMcz+j2q02KZjVWtfQRnfl/TULojIyODDz74oN3H5s+fz/z58wM+gfPbfre2ZnxP+XPfm1BR7P/XF91miCb1+f+AlkbonwmDZmodjdCIJG9CdyakWrGYTZyqauSUHpvUb3vO3UdwBAwxTh/BBQsWcOutt/Laa69RXV3t+Xh8fLyGUfmHJslb3zGQMR9cTtj0pP9fX1wSXTepb66H/KeV65nfl1ZYQUxKhQjdiQoLYVS/OHaXVLH1WCU3WH1cm6s7Wppb+wjO+J6hykA88sgjJCQk8NRTT3H33XdjMplYsGABiYnKL6ubb77Z5zGsWrUKq9UKgM1mY9myZT55DEBVQ2uXjsxUDZI3UNqlFa6F7f+BeSt0V05GnE/ttKDLNlk7/wv15WAdBCNv0DoaoSHj/OYRQWWSXpdO97wKNacgpg+MW6J1NN2ycOFCnnrqKT788EMqKirYunUrCxYsoLy8nEceecTnr79q1SoAsrKyyMrKIjMzk6VLl3r9Mard7q4KKYmR9I7VqNNB2lzoOw7s9cpyl9A9tUn9Ub01qXc6YOPflOsZ94JF5l6CmSRvQpd0WW/J5WrdfD5tqSFbH7VdLk1LS+Oee+5h9erV5OXl+fy1V65cSVZWluf9BQsWkJOT4/XHqHa4S4RMGGjtdqxeYzLBLHfD+i05YG/ULhbRJe2b1Ovo/nPwXagohAgrTPiq1tEIjUnyJnRJ3Xey/3Q1tU0tGkfjVrgWzu2F0GiYfJfW0XTbLbfcwssvv3ze4YSrrrqKoqIin752UVERNpvNs/zZVmeJ46U8pq2d7uK8E1LPf7xfjboR4lOgrhR2vaRtLKJLWpvU62jmXx04TvkWhMdoG4vQXJfmXV0uFzU1Oi+YKgJKlAn6RDg5XdXI+n0nmJGhg1Y1a/8MTS4YeyvYLWCvvvhjdObWW28F2s/A3XHHHQwePLjdx7xt9+7d570uKIclTp061eFrd/cxTU1NNDUpy1wtThfbCksAGJpo8enfrUvGfhPWPgxrH4eMmwy1VzIYjUoKwdlUz8YDJ6meM1DrcODEVjiySWmFNeIroPXPs/C52NjYC7bzM7lcrotWIqyurg6KE2lCCCGEEFqrqqoiLq7zwuJdSt78OfNWXV1NSkoKJ06cuGDgwjv0/P1+acsxfvPOAWZkJPH01ydrG8xb98He15QTXjddWtkHf3+vH3roIe666y4GDRrUrce9+eabmEwmbrjBe6fZPv74Y2666SaqqqrafTw1NZWHH36Yb37zmz1+TNuZt1d3nOEP7+6l5O93sm/fPgYMGOC1v8sl+3ilUhl/4FT4WuDV1dPzvaS7XC4XV/zxE0prm3nuzilMTtPwlHBFEWTPBVxw90fQe1hAfa+NQIvv98Vm3rq0bGoymfz+AxIXFyc/lH6kx+/3rFGpmPOOs7fUTnRMLBazRjWNqk5C0dsQboIFP4Yefp/89b1+9NFHefrpp3nyySdZvnw5gwcPvuDXr127luzsbG677Tavlw0ZO3YswHl/76qqKkaPHt3h9+NSHqMqXleKOTwKUG6CuvjZvvw+2Pk0lOZD1UFImaJ1RD6hx3vJpZg2YiDv7j7D/ooWrhiv4d/ns39BODD0ashoP4gNlO+1Uejp+y1njYVujegbR0x4CLVNLRw8U8Oo/hr9p9n099ZWWP0nahPDJbrnnnsoLi7mqaeeIi8vj6SkJNLT0z2HAAoLCykuLiYxMZGFCxeyevVqn8ShvmZRURHp6entPrdgwQKvPUa17biOTgmq4vrBuFthx39g418h5V9aRyQuYNKgRN7dfUbbE6d1ZbDjBeXaQN1chO9J8iZ0y2I2MTHVyueHy9h2rEKb5K2xCrY9r1wbtI9gWloav//97wEoLi7GZrN5TpcuWbKE9PR0v+xpXbFiBXl5eZ7SH7m5ue3KgBQVFZGbm9uuCO/FHtORc9WNnKhoQKuJ2gua+T0ledv/trIclph+8ccITXyxSb1Zix+o/GeUVlj9JsDgy/z/+kK3dHfkKTw8nIceeojwcOPV0DIivX+/J2ndpH7b821aYV14tudi9PC9TktLY+LEidxyyy3ccsstTJw40W+HkZYtW4bNZiM3N5fc3Fzy8/PJzs72fD4vL6/d+115TEfUmZIhydEA+vrZTh4JQ69UWmZtDKyWWXr4+fYmzZvUN9fDFvfP+hdaYQXa91rv9Pj97tKBBSG0su5wGXc8s5kB1kjWP3iFf1+8pRkeH690VLjxbzDxDv++vrgkv/nfPv6xrpjF4xL541dnXvTUlt8VfwbPXw8hkfCjvRCtgzI4okO35WxkU1EFK28ey1empvr3xfP/Ae/8GKyp8P3t0lFBtKO7mTch2pqQasVsghJbA2eq/Fydfu9rra2wxi7272t7wYMPPsjQoUO1DsPv1P1uE1Ks2gbSmcGzlWWwlgbY+ozW0YgL0KxJvdMBG55QrqdLKyxxPknehK7FhIcwsp8ya7LVn42iA6AVVkZGBq+88orn/S92VghEjXYHe9w9TSekaNSM/mJMptbN55uzwd6gbTyiU5o1qT/wP6gsVlphyYy/6IAkb0L31I3Dfh39Fn0MZ/cYthWWauXKlfzxj39kx44dPm+BpQd7SqqwO1z0iglnYEKk1uF0btRNEJ8K9WWwU1pm6ZUmTepdLlj/F+V6yt3SCkt0yDBzscuXLycjIwOAxMREFi1apHFEgW/hwoWsWbNG6zCYNDiR5zce8++RffXmmfl1iPTdDM6qVasApWQHcNHN+N1xzz33MHnyZLKzs3nqqacoLi4mOzubzMxM0tPTmTJlCpmZmRet/2Yk6s9IXFMpzz33HACPPfYYv/jFLzSMqgOWEJjxXXj/Qdj4BGR+w7Ats3z5M6w1tUn9wbM1bDtWydVj+vr+RY9vhJKtYAlXZv0vQC/36ECm19xD93cLm83GpEmTWLFiBVlZWUyePJnFi423/8hocnNzu9T82x/Umbd9p6up80eT+tM7lZk3kwWmf8dnL7N8+XKWLVvGsmXLPL/wFi5c6NXXmDhxIk899RRHjhzhgQceYPXq1SxYsACXy8VTTz1FZmYmFouFKVOm8J3vfIePPvrIq6/vb2ry1jek3tOBYfz48SxdeuFfgpqY+DWIiIfyI3DoPa2juST++BnWmt+XTtWB4/jbICa50y/T0z06EOk999B98rZ8+XJuvfVWT1HRzMxMGWn4mM1mo6LCz3s8LqC/NZL+8RE4nC52nrD5/gXVm+eYmyGhe62luspms1FQUIDNZvN8bOnSpeTl5flsefPWW29l4sSJ3HPPPfz+97/nww8/pKKiAofDQU5ODpmZmTz11FNcddVV7Nixwycx+JLL5fIkb0sXtSYQl19+OTk5OVqF1bnwGJj8LeVa3V9pIFr8DGthsj/LFZUedCfypgsW5dXbPToQ6T330H3ylpOTw6JFiygqKvKMMi5WXV30zOrVq1myZInWYbQzabD71Jevb6CVR5VTpuDzorxbt25t90tO7SLQ9pehN02c2Hl3CDWpW716NatXrzbkiP5YeT3ldc24WuxMH35+L1Nd/p2mLQVLmLJUdiJf62i6zd8/w1pQT5zuKami0e7w7YupSfzwa6FX5yfF9XiPDjR6zz10nbypNwV1dJeenu4Z2QnfyMvL09UPqMpvo9+Nf1MKqGbMh37jfPYyVquVyspKMjMzPR9Tf66/2ArKn7Zv305Cgk5PaV6EOuvWdOYw4SGWdp+zWq36TChi+8I49y/hDY9rG0s36fVn2NtSEiPpHRuO3eHjmf+aM7DrZeV6VucDR73eowOJEXIPXR9YUL+BVqvVc4N45JFHSEtLo7JSh70LA4D6g6q3X3Rqp4XtxypxOF2+aVJfVwYF/1auZ/3A+89/EStXriQ7O9szTa+FiRMn4nQ6NXv9nlDruzWV7D/vc4mJifpdZpp5H2z/D+z/H5QdvuCMi97p4WfY20wmE5MHJfDenjNsPVbJtHQfFVXenA2OZhg4FVKnd/pler1HBxIj5B5+Td5yc3N5+eWXL/p1K1asaDeamzx5sudaHUHL6OPCLuV7nZOTc9G+kVoZ0TeW6DALNU0tHD5Xw4i+PqiYv+VppXBq/4mQNqdbD73Un22Vur9Cr99/Iyg41nnyptvEDaD3cGWZ7OC7sOEvcIPx9r9BYP8MT3Inbz478d5U01qw+QKzbnq+RwciPecefk3eFi1a1K1jtp1NvVut1oDaEOsL3f1eFxQUtPtB1ZsQi5mJqQmsO1LG1qOV3k/emuta+wjO+kG7PoJd0d3vd1u5ublkZGTITbkHqhvtHDxbA0BTyYHzPq/OVujWrB8qydvOl+Dy/1OWUw0k0H+Gp7j33PqsSX3Bv6GxChIzlES+oy/R+T06kBgh99D1sml6ejrp6ekUFRW1m62w2WzyQ+xlFRUVFBQUeNb01ZpNq1atIj09XRe1bTIHKcnbtmOV3DHdy6dAC/4NDZWQkAYjb/Duc1+A+v1Wf+mpp8h0nWjo0PbjNlwuGJQURVWYsuzRq1evdl+jh9Fyp1KnQeoM5eDCpidh4a+0jqjLguFn+ItN6of2ifXekzvsyr85wMzvgdnS4ZcZ4R4dKIyQe+i+MX1ubi75+fk88sgjnvezs7N1dWQ3EBUUFDBp0iT09OPx2aFSvv7PLaQkRvL5Mi82qXfY4S8ToeoEXPdnmPIt7z33Bag34rY33dzcXLKysgJqz5A//HnNIf6y9jA3TxxA32MfYrVaue2224iPj+f5559n/fr1+i8ee/B9+O+tEB4HP9qj1IDTuWD6GfZZk/qdL8PrWRDVS/l3D+1aZxA93qMDid5zD13PvIGyHFVRUeGp4l1eXq6bb16gart/a/ny5SxcuFAXsxYT3U3qT1Q0cK66keS4CO888d7XlcQtujdMuN07z3kRNpuN+fPnY7PZWL58ebvPLVu2zC8xBBJ1v1vmoATuuHUZq1at4o033lA+V1Cg/8QNYOiV0HsklO6Hrf+Ey36kdUQXFGw/w5MHJbKpqIKtRyu9l7w5nbDuUeV6+ne6nLjp9R4dSPSee+h+5k2Itq55/HP2n67mya9mcu3Yfj1/QpcLnrpM6WN6xc9gzgM9f07hVw6ni3G//IC6Zgfv/3C2Zz9kdXU18fHxVFVVERfngwMuvrDjv/DGtyGmD/xgF4R6aYAieuzjg+f45rP5DE6K4pMHLvfOkx54F176CoTFKrNukVbvPK8IeLqu8ybEF3m9Sf2Rta0N6Kfc7Z3nFH518EwNdc0OYsNDGJrsxb1IWhi7COIGQu1Z2CUN6/XE603qXS5Y92flesq3JHET3SLJmzCUyd7uM7j+MeXPSXf6tAG98B21vtuEVKtv6v/5kyVUaVgPSps2p48r+osuU5vUA94pGXJsPZzMVxrQT/9uz59PBBVJ3oShqMV6956qpqG5h7/YTm6Do5+DOaT1F6YwnG1HlURe/dkwvMxvQIQVKgrhwP+0jka04dUm9Z+7Z90mfhVi+/T8+URQkeRNGMoAayR94yJocbrY0dNWNeqs29jFED+wp6EJjagzbwGTvIXHwNR7lOt1jynLa0IXvNam79QOKFwLJrPPeyiLwCTJmzAUk8nkndFveSHsf1u5lpunYZ2rbuRERQNmE0xIsWodjvdMXQohEXCqQJkdFrrgtSb16gnTMbdAYpoXIhPBRpI3YTheGf1u+AvggqFXQZ9R3glM+J2692hYn1hiI0I1jsaLYnrDxDuU63WPaRqKaNW2Sf2uk1WX9iRlR2Dfm8q1zsvBCP2S5E0Yjjr6LXC3qum26lOw40XlWoMG9MJ78t2njqemJWociQ/M+J6yrFa4Fk7v1DoaQWuTeoCtlzrzv+FxWgeOo70XnAgqkrwJwxnZL5aoMAvVjS0cPlfb/SdY/xdwNCvtiAbN9H6Awm/UX6CTBwdg8paYpiyrAXz2R21jER7q3sptl1KuqPqUUssPYPb9XoxKBBtJ3oThhFjMnv1N3R791pyFbc8q13OXdbsBvdCPuqYW9p6qBmDK4AA5rPBFs3+i/Ln/LTi3X9tYBNA6UNh6KTP/G/8GTjukzoTU6T6ITgQLSd6EIalLF92ut7Txr9DSCAMmQ7qXqqQLTew4YcPhdDHAGkm/+K61FTKc5BEw8gbl+vM/aRuLAGB0/zgiQs2eJvVdVl8BW90DR5l1Ez0kyZswpEnu0W+3kre6Msh/Rrmeu1xm3Qwu/6i6ZBqgs26qOe7Ztz2vKqekhaZC2838d+P+syUH7HXQZywMkT6komckeROGNDHViskEx7rTqmbjE2Cvh34TYOhCn8YnfE9tkRaQ+93a6jcehl0NLmdrYVehKfXQVJfb9DXXweanlOvLfigDR9FjkrwJQ4qLCGV4H7VVTRf2vdVXwJanlWvZ62Z4LQ4nBe7ivF/c75abm0tubi4/+IFykvjZZ59l+fLlFBUV+T1Or5nzgPLnrpeg8pi2sYju15rc9jw0VEJCGoy6yXeBiaAhyZswrEndaVK/6e/QXKssWQy/1seRCV/bf7qG+mYHsREhnn6TADk5OSxYsIBFixZ5PvbNb36TgoICCgoKtAjVOwa692g6W1o7gwjNdKtJvb0RNvxVuZ71A7CE+D5AEfAkeROGpe51uui+kwYbbM5Wruf8RGbdAoBnv9ugBMxtmtEnJiZitVoBOHr0qOfja9asaZfQGZI6+7b9P0rJCaGZbjWpL3geak5B3ACYcLsfohPBQJI3YVjqvpO9py7SqmZLDjRVQe82J/eEoXVW361tgrZ9+3a/xuRzg2fBoFlKjcL1f9E6mqDXpaVTe0PrPsXZ90NIuB8iE8FAkjdhWAMTIkl2t6rZ2VmT+sZqpbYSKDMXZvmRNzqXy+XprDClk8MKht7fdiHqydNtz0HtOU1DCXZdatO37TmoPQPxKTDxa/4JTAQF+U0mDMtkMl186TT/H9Bog6QhMPrL/gtO+MzxCmWfUZjFzLiB8R1+TV5eHvPmzWv3fkBIv1ypUdjSoJyeFpq5aJN6e0NrA/rZP5ZZN+FVkrwJQ5s06AL13prrWn/BzXkAzBY/RiZ8RZ11GzswnojQ1n/T3NxcFi5USsCsWbOGhAQlsbfZbNhsNr/H6RMmU+vet/xnlFPUQhMXbVK/9Z9QexbiU2HCV/0foAhokrwJQ2vbaeG8VjVb/wn15crx/DEG36wuPLZ2Upw3PT2dhQsXkpuby9NPP+35+CeffGL8wwptDbsK+o5VTk9v+rvW0QStCzapb65rnXWb8xMICfNzdCLQSfImDG1U/zgiQy3nt6qxN7Ru6p79YzmeH0DUk6ZTBrXf75aZmcmyZctYtGgRVquVxx9/HICbbrrJ3yH6VtvZt83Z0NjBrI/wi06b1Oc/A3WlYB0kJ0yFT0jyJgwt1GJmfIqy76ndvrdtz0PdOWXJYvxtGkUnvK28tonC0jqg9RdnUBpxvXJ6uqkKNj6pdTRBSz3tvO14m5n/5jpYrwwcmLsMLKEaRScCmSRvwvDOa1Vjb2wtZDr7R3LzDCDq3sahyTEkRAfxUpTZDPMeVK43PqH07RV+pzapt9XbKSpzz/xveRrqy5TtGuNk4Ch8Q9aShOGdV29p+7+h5rS7KKZsFNaLVatWeQro2mw2li1bdsGvz8vLIzs7m4ULF5Kens6aNWs403cGEBr4/Uy7YuSNSt/T0zuV/VVX/VbriIJOqMXM+IFWNhdXsPVoJUPiTbDBvV1j7jLZriF8RmbevKmxWusIglLbVjVlVTWw7jHlE7N+KMfzdWLVqlUAZGVlkZWVRWZmJkuXLr3gY2w2G3l5eSxdupSlS5eSkZFBdXhv4Px+pkHJbIb5v1CutzwNVSe1jSdItStXtCVHOSSVmAFjl2gcmQhkkrx5Q3MdvHUfPD4O6sq1jibotG1VU/rxU1B9EmL6QKYUxdSLlStXkpWV5Xl/wYIF5OTkXPRxxcXFuFwuCgsL+dqd32JPibI5v7PivEEnY76760ITfLpK62iCkqfTS3GJzLoJv5HkzRtCIuHUdmiohM/+oHU0QWnS4ARiqGfQHnddt7nLITRS26AEoHQ7sNlsniXTtrpTPHfnSRt2h4s+ceEMTJB/W0A5earOvm3/D5Qd0TaeIKTO/F9e9bryOyBpqJQmEj4nQwNvMJth4a/g3zcpFf2nLYXENK2jCiqTByXQb9v/iGqxKTfPzK9rHZJw66xVldVqvWjx3NWrV5OYmEhFRQVvFzaDKY3JgxMxmUznfW1TUxNNTU2e96urg2QbQ+p0GHoVHP4APvkdLPqn1hEFlfioUCb0NpNV9Y7ygbnLZdZN+JzMvHlLxuWQcQU47fDRb7SOJuhMTWrkbsu7ADRf/gs5YWoAalLWmczMTBYsWMCiRYvIysqiLqofAFM6KRGycuVK4uPjPW8pKSk+iVuX5v9c+XPPq3B6l7axBKHvRuVhNdVRGjEYxtysdTgiCMjwwJsWPAyFH8OeXJhxLwzI1DqioDFgx2OYTM3kO4dB9CymaB1QAMvNzeXll1++6NetWLGCzMzO/w9cKHEDpWOCyuF0cc4ZDTgYkdRxYr5ixQruv/9+z/vV1dXBk8D1HQtjblGSt49+DV99ReuIgkdDJXPLVwPwr7Bb+bG04RN+IMmbN/UbB+OWwK6XIe8h+Ppbyp4U4Vvn9mPa8QIAK+23s/CYjSlpSRoHFbgWLVrUrXZTbZOwtmw2W6efAyVJVF/n4JkaapscOJvqsdSeBQae9/Xh4eGEhwfx6eLL/w/2vgGHP4RjG2HQDK0jCg6f/oEwezUHnCnklI/jXrujXc9dIXxBlk297YqfgSUMij+DI2u1jiY45P0SXE6Ke19BgWtYa703oQvp6elYrdYO974tWLCgw8fYbDYWL17seYzaO7Lp1AGGDsnwXbBGlpQBE+9Qrtf+ClyuC3+96LnyQqU8CPBE6J00OUwdN6kXwsskefM2aypMdZdEWPMLcDq0jSfQFX8Oh94Hk4WGOT8DlCr8LvnFpSsrVqxod7I0Nze3XemQoqIiTy04UA4zLFu2zDMzl+/unjEkng5PrQq3ucvBEg7HN8jg0R8+/Lmyz3nolTjSLgc6aFIvhA9I8uYLs38MEfFwbq+yhCp8w+mENe6N2pO/yZCREwkPMVNZb/f0vxT6sGzZMmw2G7m5ueTm5pKfn092drbn82o3hbZWrFjBqlWreOSRVXy06xgAf1j+Hb/GbTjxA2DqPcr12oeV/yPCN4o/g4PvgMkCV/6m8yb1wtA+O1TK0n9v5Y3tJVqH0o4kb74QlagkcAAf/RbsDdrGE6j2va7U1wuLgbnLCQsxMz7FCiBLpzq0bNkyz365Rx55pN3nsrKyKCwsbPcxdfbtq1nfo84VSojZxAT3v6+4gMvuh7BYOLML9r+pdTSByemA93+qXE/5FvQe3nGTemF4nx0q5YO9Z9lyVF+/UyR585WpSyFuoFLtf3P2xb9edE9Ls7KvB2DWDyAmGVDqvUGbJvXC8NR/y9ED4okKkzNWFxWdBDO/p1yv/bXyf0V4144X4OxuZYVl3gqgkyb1wvDUpG1amr66ukjy5iuhEXDF/ynX6/4M9frK2g1v6z+h8qjSBmvGvZ4PT/Y0qZfkLVDku2+endV3Ex2Y/l2I7g0VhbD571pHE1iaapSkGJQ9hlHKL3W1ST3I4DFQ1Da1eFryTZXkLYiMuxWSR0NjFXz+J62jCRyNVfCpe9nt8p9CWLTnU5mpyi/4orI6ymubOnq0MBj1F+Fk6WfadRFxSt1JUHqeVp/WNp5Asu5RqDunNJ+fck+7T7VrUi8Mb+vRCpwuSE2Mol+8vlrySfLmS2aL0jYLlOPklce0jSdQrHsMGiqg1zCYcEe7T1mjwhiaHAPI7FsgqKq3c/BsDdD6i1F00fivwMAp0FyrnHwXPVd5DDa4+ydf+WsICWv3abVJvdx7AsOWYmXWX2+zbiDJm+8NmQ9pc8DRDB//VutojK+qBDY9qVwveLjDHoKepdPjcgM1um3HlZtneq9oesUEcQHeS2E2w7V/AEywezUc26B1RMaX90twNMHg2TD82vM+rc78F5fVUSYz/4YnyVswM5laZ992vQwnt2obj9F98jtoaYTUmTD8mg6/ZJI6+pV9J4aX71kylVm3S9J/Ikz6hnL97jKpO9kTxzfD3tcAE1z1uw6758RHhTKsj8z8B4KGZgc7T9oAmK7Djj2SvPlD/4nKEgbA/34IjhZNwzGsM3tgx4vK9ZW/7rT1mHridFdJFU0t8svKyLa6DyvIfrceuOIXEGFVTkdu/afW0RiT0wkfKKdKmXiH0gqxE+rP6ladlZYQ3bP9RCV2h4u+cRGkJOprvxtI8uY/C3+t3EDP7Pa0UxHd4HQqia/LCaNugoGTO/3SQUlR9IoJo7nF6TkpJIyn0e5g5wnl32+KJG+XLjpJadsH8NFvoK5c23iMaE8ulGxTakpe8fMLfqmnXJHMvBla2yVTkw57lEvy5i8xvWGh+/TXx79V9m6Jrtv6DJzMV4qPXr3ygl9qMpk81c7lyL5x7SmpotnhpFdMGIOTorQOx9gm3wV9xkKjDT76ldbRGEtzvbLXDWD2/RDb54Jfrh5a2FNSRaNdZv6NSk3epqXrc+AoyZs/Tfw6DJyqnP56/0GtozGO6lOQ5058FzwEcf0v+pBJMvo1PM9+t0H6HPkaitniPrwAbHseSgq0jcdINj4B1SUQnwrT773ol6ckRtI7Nhy7wyVN6g2qucVJgfvAm96K86okefMnsxm+9KjSC2//W3DoA60jMoZ3H4DmGiXxnfytLj2k7b4TaVVjTK373eSwglcMmgFjlwAueG+Z9D3tiqqTSl03gIW/VIqvX4TJZGqzdCr73oxod4mNRruTpOgwMnrHaB1OhyR587e+Y2C6u7n2uz9RpuRF5/a/DQf+B+YQuP5xJQHugjH944kMtVBZb+fwOWlVYzROp8szayr73bxo4a+UfVsn82Hnf7WORt9cLnjrPrDXQ8p0GH1zlx8qTeqNbbPO97uBJG/amLcC4gaA7Th89geto9Gvxmpl1g1g1g+hz6guPzQsxOyZsdlYWOaD4IQvHSmtparBTmSohVH947QOJ3DE9YO5y5TrvIeUbiWiY9v/DYVrwRION/y109PtHZEm9ca2uUi/9d1UkrxpITwGrlmlXG/4C5zbr208erX2V1BzWmlDM+eBbj98erpSm2dTkSxdGI3az3RiqpVQi9ymvGradyBpKNSVwse/0zoafbKdgPd/qlzP/zn0Htath0uTeuNqcTg9NfokeRPnG3EdDLsGnC3wv/uVKXrR6sQWyP+Hcn39Y13aa/JFMzLcyVtxuYx+DUYd+Up9Nx8ICYNr3YPHzdlQ/Lm28eiNywVvfV/ZZ5syDaZ/t9tP0bZJfb4snRrK/tM11Da1EBcRwoi++p31l+RNKyaTcgMNjYLjG1qLzwpoaYa3fwC4lN6laXMu6WnGDognKsyCrU1/TKF/LpeLjUVKLbIZ6fqrbB4QMq6AzG8ALnjjO7J82ta256DoYwiJgBufVE7qXgL1lOKmIqmrZySbi5V/rymDE7GY9bnfDSR505Y1FeYuV64/+KnUflNt+Auc2wdRvZROCpco1GL2bHbfWCg3UKMoLK2jtKaJsBAzE1OtWocTuK76HSQMhqoT8N5yraPRh8pj8KG7oPH8h6DXkEt+qunumf+NheW4ZGXFMDbruJ9pW5K8aW3GvdBvglI8841vy/H98kL41L2kc/XvIapn/4Fa971J8mYU6qzbpNQEIkIvbdZDdEF4DHw5G0xm5eTpvje1jkhbTie89T2lDmfqTJj27R49XWZqAmEhZs7VNFFUVuelIIUvOZ0uz37baTqf9ZfkTWuWULjlH8ryafFnyqxTsHI6lKP5jibImA9jF/X4KdV9b5uLpd6bUWxyz5Kq/3bCh1KnKye5Ad7+IdSc0TIabW37p3IPDomEG5/oclmizkSEWpiUqpx43yAz/4Zw+Fwttno7UWEWRuv8lLskb3rQa6gyywTw0a/h1HZt49HK+sfg2DoIjYYv/blbR/M7M6Z/HDHhIVQ12Nl/prrnMQqfcrlcnllSSd78ZN4K6DsWGirgze8F5+GpyqPw4S+U64UPQ1KGV57Wc2hKkjdDUPe7TRqUoPtT7vqOLphkfh1GXq+cPn31bmgOsmn2E/nw0W+V62v/oOzF8YIQi5kpnnpvcgPVu0NnaymvayYy1OI5rSd8LCQMbn5aqWd2ZA1se1briPzL6VSSVnsdDLoMptzjtaf2JG9Fsu/NCDz73Qxwyl2SN70wmeD6v0Bsfyg/Ely9Txur4NW7wOWAMYtgwu1efXqp92YcakHlyYOV/ULCT5JHKn2DAT74P2XvabDI/wcc/VyZ8ffCcmlb4wdaiQy1UF7XzKGzUu9Nz1wuV5tm9Pqf9Ze7o55EJcLN2YAJCv4VHBuIXS7434+UbhPWVK8tl7bVuu+tHIfse9M1NcGeboCbZ8CZ9h0YPFtpB/VaFjhatI7I987uUzpNgLJcmpjm1aeXTi/GcbS83nPKfdzAeK3DuShJ3vQmbQ7M+oFy/dZ9gV8+ZMcLsOdVMFngln9ChPf/04zqF0dseAg1jS3sPy373vTK6XSxyb3nRJI3DZjNcNPfITwOSrbCJyu1jsi3GirhpduVZDXjCpj8LZ+8jDp4lEML+rbZvdd2QorVEKfcJXnTo8v/r7V8yGv3gMOudUS+UVKgdJcAuPynkDLFJy8TYjF7avbIvjf9OnCmxnPSywgj34BkTYHr/qxcf/5HZWAViJwOyP0WVBYrM/63POPV5dK21ELTcuJd39Ql0+k6r++mkuRNj0LClJtJWCwcWx+YBTRrz8HLdyhlQYZdA5fd79OXk3pv+qfWd5syOFH3J70C2rjFMON7yvUb34WSbdrG4wsf/VppOh8SCbe92ON6khcydkC858T7Ppn5163W4rzGmPWXO6Re9Rqi1H/DBFufae3zGQhammH116G6BHoNg5tzfDbqValLF1uKK2hxBHkhZJ3aKPXd9GPhr2DoVdDSCP+9PbC2b+x9HdY9qlzf+IRSJsWH2p54l8GjPp2srKfE1kCI2UTmIKvW4XSJJG96Nvzq1hNg7y5TCkgancsF7y+H4xuVvTW3vQgRvi+GOLJfHHERIdQ0tcjoV4ccTpenxpL0M9UBs0UZPCaPgtoz8NJXAqN80dm9ymwiwMzve6UQeFfMzOgFyLYNvVKXTMcOjCcqLETjaLpGkje9m/VDGLtEKaOx+uvGP8K/7lHY+k/ApPxy6DXULy9rMZs80+FyA9WffaeqqWlsITY8RPeVzYNGRBx85SWlx/DpnUoDeyO376stbT2gkD4P5v/Sby/dttOLzPzrzxaD9DNtS5I3vTOZ4Ia/QP9M5XTUv78M1ae1jurSFPwL1j6sXF/1Wxh2lV9ffnq68h9Tli70Z2ORUkZhaloiIbLfTT8SBsGt/wFzqFK6yKgnUNV7Z+VR5YDComfB4r8ZFnXmv7aphT2nZOZfb9T9btMkeRNeFRoJt78MielgOwb/vgnqDVZw9sA78La7BMplP4IZ9/o9BHX0m3+0Uka/OiP73XRs0Ay4/nHl+rNVsP0FbePprqZaeGExnN0N0cnwtTd8ekChIxazyVP4VWb+9eVcdSPFZXWYTDDZAJ0VVJK8GUWM+6YT2w9KD8ALi6CpRuuouuboesi9C1xOmHgHzH9IkzBG9o0jPjJURr860+Jwkn+0EpD6bro18autDezfvBd2vaJpOF1mb1T2653MhwgrfP0Nr/Ut7S51L+dGmfnXlU3uWbeRfeOIiwjVOJquk+TNSBIGKQlcZIJyfP8/i5TWUnp2JE9JNFsaYfh18KXHvd5BoavMZpNnWlxGv/qxu6SK2qYW4iNDGdVP9rvp1vyHYNKdgAtez4I9r2kd0YU57PDKncpBr7AYuOM16DNas3BmDlGSt61HK2hukZl/vdhwRNmyMWuIsQaOkrwZTfIIuONVCI+HE5vg+euhTqdtV/a8Ci/e5q5gPh8WPePXfSYdkXpv+qPORExLS8Rs1iaxF11gNsN1jyqz5y4nvHo3bP+P1lF1rKkGXrwVDr0HIRHKwYuBkzQNaVhyLInRYdQ3O9h10qZpLELhcrn4/LCavPXSOJrukeTNiAZMgjv/13oK7Nlr9FeHKf8fSgVzpx3G3KLcPEMjtY6qzb63Cuyy700XZL+bgZjNcP1fYMIdygn4N++Fz/+klADSi+pTyj1RLcJ7638gbbbWUWE2mzyHpmTmXx+OVyj13UItJkOdNAVJ3oyr3zj45nsQNwDKDsHTl8PxzVpHpdzEP10F7/wYcCn9Am9+WukaoQPD+8SSEBVKfbOD3SU6X3IOAs0tTra697tJ8mYQZotS3FbdA7f2V/DuT/TRxu/sXvjHAjizG6J7wzffgaELtY7KQ/a96Ys665aZmmCY+m4qSd6MrPcwuOt9dyHNs/DcdbDtee3iqa+A/94GH/9WeX/OMrjuT8rNXieUfW9y6ksvdp200WB3kBgdxrDkWK3DEV1lMsHCh+Hq3yvv5/8Dnr0Wqk5qF9PhNfDPq1s7t9ydp6xS6Ig6QNl2rJKmFofG0Yj17v1us4caa8kUJHkzPmsqfGsNjLxeWaJ8+z5lKcPfBxmObYSnLoND74MlHL70KFzxf5odTrgQqfemH2oCPT1d9rsZ0vTvKF1SwuPh5BZ4arZySMmfGquVMkQvLIKmahg0C771ISQM9m8cXZDRO4beseE0tTjZftymdThBzeF0scF9/zHafjeQ5C0whMfAkn/DFT8DTMom4idnKCNRX7M3wCe/V2b9qksgaYgy4p18l+9f+xLNcLeq2Xq0Uk59aUxdPpKWWAY24jpY+in0Gw8NFcop+P/drxTG9bXCj+HvM2Hbc8r7U7Pga68rJ/J1yGQyeX7WN8jMv6b2nqqiqsFObEQIYwfEax1Ot0nyFihMJpjzANz5DiSkKYnUC4vgtSyoPOb913O5lAbPT0xVqq67HEobr6xPlP14OjY0OYbE6DAa7A52l9i0Dido2Gw2cnJyWLhQ2YPU1OJg27EL73dbtWoVOTk55OTksGrVKr/FKropMQ3u+lDZ44oLtj4Df50MO/7rm8MMdeXw9g+VguVVJ8A6CL7xP7j2DxAS7v3X8yL1Z32TJG+aWudeMp2RnmTIri7Gi1hc2OBZ8J0NMON7gAl2vQx/zVRudLYTPX9+pxMO5yn7W165E6qOK4cmbnkGbs6BcP3vW5JTX/5XUFDA6tWrsdlsVFQoRTG3H7fR1OKkd2w4Gb1jznuMmqxlZWWRlZVFZmYmS5cu9WvcohtCI+BLf4ZvvK3sOasvgze+rcyM7fgvtDT3/DVsx+HdZfDoaNj2rPKxKfco9zwdnCjtCnXmbfuJShqaZd+bVtT9bpcZcL8bgMnl0tMZb+FVJdtg7a+h6GPlfXOIUm9t7GIYfo2y3NoVLhdUFCn72fKfgYpC5eMhkTDrBzDrPgiL9s3fwUf+tfEov3hzL5cN6cV/7p6mdThBIzc3l5UrV7Jt2zYeXXOIx9ce5vrx/fnrVyae97UJCQkUFxdjtVo9HzOZTHT1llVdXU18fDxVVVXExUnxX79qaYaNTyhlRJprlY/F9leK/A6/BvqO7fp+WIcdjn4OO1+C3bnKLD9Avwlw5a8hbY4v/gY+43K5mPn7jzhd1ch/vjXNsMmDkTXaHYx7+EOaW5ys/fHcDgePemess7GiewZMUtrBHNsAH/9OuQEe/kB5C42ClKnQf6JyI41MVKqQh0UrBTirS5TliLN74chapaeqKjwOJnxV6U9qTdHsr9cT6uh367EKmlochIfo50RssLjQfreioiJsNlu7xE2Vl5fHggULfB2e6ImQMJh9P0z+Jmx9FjY/BTWn4JPfKW9xAyFjHiRmKJ1jrIOU9lVN1UqB3UYbnNsPJQVKMfK2B7DS5yllStLn6fJA1MWYTCZmZCTxWkEJG4vKJHnTQL67y0W/+AjSexlr4kElyVswGDRTKepbegj25MKu1VBZDEWfKG9dYQ6F1Okw6kYY/5Wuz9rp1JDkGHrFhFFW28yuk1VMMVBD4kDQaHeww33arqP9bkVFRR0+zmq1YrPZOvxcU1MTTU1Nnverq6V/reYiE5Qkbsa9SseV/W8rhwyqT3avO0N0bxh+rTJzNyDTZ+H6y4x0JXmTQwvaWHektauCyYADAJDkLbj0HgaX/xTmrYCze5Rl1VPblRFuUw001ylvLifED4D4VOW4fdocGHyZ4RO2tkwmE9PSk3hn12k2FpZL8uZn245V0uxw0jcugsFJUV1+XGJiomfP3BetXLmShx9+2FshCm8KCYcJtytv9gal3+jJrcoeNtsx5c+mGmVWPzxWudckZiiJ2oBJygqBjupF9pQ6YNl1UunrGxMuv4r9ybPfzYAlQlTyExOMTCZlqbTvWHej6eA03Z28bSoq5775Q7UOxzByc3N5+eWXL/p1K1asIDOz41mSti2xujPy7SxxU1/v/vvv97xfXV1NSooxl/UDWmgkDLtKeQtSAxOiSEmM5ERFA/lHK7h8eLLWIQWNirpm9p5SZuWNWN9NJcmbCFrqXiu12rnse+uaRYsWsWjRoh49x8Xqu6Wnp3f4cZvN1unnwsPDCQ/Xd5kIIVQz03vxcsUJNhWWS/LmRxsLy3G5YETfWHrHGvd+IaVCRNDK6B3tqXa+Q6qd+43LEsbOEzag8/pu6enpWK3WDve+yWEFEQjUn33pc+pfbfe7GZkkbyJomUwmpkujaL+qqKjAbk2lxeligDWSlERlv1tRUdF5RXhXrFhBXl5rq6Xc3FyysrL8Gq8QvqImb3tKlEr/wj/WHSkFjL3fDSR5E0FOXbb7/HCZxpEENjU5y87O5mRzJAD9LDWez+fl5ZGdnd3uMcuWLcNms5Gbm0tubi75+fnnfY0QRtUnTilT4XTBluLO93IK7zleXs+JigZCzCamphn7kJoU6RVBrcTWwKzff4TZBNt/fiXxUaFahxTwbvzbenaesPGnxeO5ZdJAn72OFOkVevfT13fz4ubj3DUrjV9cP0rrcALei5uP89PXdzN1cCKrvz1D63B6RGbeRFAbYI1kaHIMThd87p5OF75TWdfM7pM2AGYOkWb0IrjNlH1vfrU+QPa7gSRvQjBveG8APjkoyZuvrTtShtMFw/vE0i8+UutwhNCUuud2/+lqKuq80PtVdMrpdLG+UO1navyBoyRvIujNHaYc0//0UGmX+2aKS6MmyHPdCbMQwaxXTDgj+sYC8PlhGTz60r7T1djq7cSEhzBuoFXrcHpMkjcR9KakJRAVZqG0pol9p6Wlkq84nS4+PaT8gpo3TJI3IQAuH6EMHj86cE7jSAKbWiJkenoSoRbjpz7G/xsI0UPhIRbP3hM1uRDet/9MNWW1TUSFWZg0OEHrcITQhStGtM78O5wy8+8r6w6rLbGMv2QKkrwJAcDcYbLvzdfU7+3MjCTpZiGE28QUK/GRodjq7ew4Ual1OAGp0e5gy1GlHMtlQ41/WAEkeRMCaN33tu1YJdWNUjDTF9RZzbmyZCqER4jFzBz3/4mPD8jg0Re2HaukucVJn7hwMnrHaB2OV0jyJgSQmhRFeq9oHE4XG45IwV5vq260U3BMmVVQE2UhhOJy9wEe2ffmG21bYplMJo2j8Q5J3oRwmyslQ3xmw5EyWpwu0ntFk5oUpXU4QujK3GG9MZmUE5Fnqhq1DifgqPXdjN4Sqy1J3oRwmzdcmRH65KCUDPE2dcl0jiyZCnGepJhwxrvLV3xyUGbfvMlW38zukiogMIrzqiR5E8JtWloi4SFmzlQ3cuhsrdbhBAyXy8Wn7tnMeVLfTYgOqadOP5bkzas2FJbjcsHQ5Bj6xEVoHY7XSPImhFtEqIUZ7pIhMvr1niPnajlV1Uh4iNlTUV4I0d7l7pn/dYfLaGpxaBxN4FgXQC2x2pLkTYg21OKxUu/Ne9Q9hNPSk4gIlRIhQnRkdP84eseGU9fsYOtRKRniLep+t9kBUiJEJcmbEG3MdY9+849WUNvUonE0gUG6KghxcWazyfN/RE6dekdhaS3HyusJtZiYmpaodTheJcmbEG2k9YpmUFIUdoeUDPGG+uYWthQrxTGln6kQFyb73rxr7f6zgNISKzYiVONovEuSNyG+QJZOvWdjYTnNDicDEyJJ7xWtdThC6Nqsob0IMZsoKq3jWHmd1uEYXt4+JQleMLKPxpF4nyRvQnxB23pvUjKkZ9p2VQiU4phC+EpcRChTBivLe7J02jOVdc1sPabM+s8fGXiFwSV5E+ILpqcnERZipsTWQGGplAzpCc9+t+GBd/MUwhcuH+FulSXFwnvk44PncLpgRN9YBiYEXmFwSd6E+IKosBCmuTe3SreFS1dcVufZLKyWYBFCXJi6721TUTn1zXJo6lLlufe7LRwVeEumIMmbEB2aK/veeuxT96bryYMSiQkP0TgaIYwho3cMAxMiaW5xsuFIudbhGFJTi8NTGDwQ97uBJG9CdEhd5ttcVCGj30vUumQqp0yF6CqTyeSZfftITp1ekk1FFdQ1O0iODWfsgHitw/EJSd6E6EBG72gGWCNpdjjZVCSj3+5qtDvY6P6+SYkQIbpH7bbwyYFzcmjqEqglQuaPTMZsDsyDUpK8CdEBk8nkmTGSfW/dt6W4gka7k75xEQzvE6t1OEIYyoyMJMJDzJyqauTg2RqtwzEUl8tF3j4leQvUJVOQ5E2ITqlLp7LvrfvUIqNSIkSI7osItTDTfcjn4wNy/+mOfaerOVXVSESoOeD6mbYlyZsQnZiRkUSoxcSx8nqKy6RgZle5XC4+3KuMfK8IwPpKQviDp9uC1HvrFrUw7+yhvQO6l7Ikb0J0IiY8xFMw8xPZONxle0qqKbE1EBlq8ZzaFUJ0jzrzv+14JVX1do2jMQ61RMiCAB84SvImxAWoyYfse+u69/eeBpRio4E88hXCl1ISoxiaHIPD6eKzw3L/6YozVY3sLqnCZIIrRgTufjeQ5E2IC1KXLjYWllPTKKPfrnh/zxkArhrdV+NIhDC2y6VRfbesPaDMuk1IsdI7NlzjaHxLkjchLmBIcgwZvaNpdjil12AXHDlXQ2FpHaEWk+cXjxDi0qglQz49WIrTKSVDLiYYTpmqJHkT4gJMJhPXju0HwLu7T2scjf6ps26zhvQiLiJU42iEMLbJgxOIDQ+hvK6ZXSVVWoeja/XNLawvVGpLSvImhOCaMUry9snBUuqapNvChby/V0nerpYlUyF6LNRiZvYwpdyFzPxf2OeHy2hucZKSGMmwPjFah+NzkrwJcREj+8UyOCmKphZZOr2QExX17CmpxmyCBQHaDFoIf1NPncqJ9wtru2QaDLUlJXkT4iJMJhPXuJdO39sjS6ed+cA96zZlcCK9YgJ7s7AQ/qJ2etl1sopzNY0aR6NPDqfLM7BeGARLpiDJmxBdcq176fTjA6XSqL4TavJ29RhZMhXCW5JjIxg3UGmurhagFe3tOFFJeV0zsREhTElL1Docv5DkTYguGDMgjoEJkTTYHXwqNd/Oc66mka3HKgEpESKEt6n7buXQVMfWuJPaecOTCbUER1oTHH9LIXrIZDJxnXrq1H2iUrRas+8sLheMHxhPf2uk1uEIEVDUe8+GwjLKa5s0jkZ/1gZJV4W2JHkToovUfW8f7T9Lo92hcTT64inMK0umQnhdalIUYwfE43S1nugWiqNldRw+V0uI2cS8YZK8CSG+YPzAePrHR1DX7OCzQ7J0qqqqt7PRXV9JSoQI4RvXjVMGj+/skqXTttReplPTEomPCp7akpK8CdFF7U+dyuhX9dHBs7Q4XQzrE0N6787rK9lsNnJycli4cGGXnjcvL4/FixeTk5NDXl4ey5cvJzc311thC2Eo6tLppqJySmtk6VSl3ouDoTBvW5K8CdEN145VZpby9p2lqUWWTqF1yfRCs24FBQWsXr0am81GRUVFl57XZrORl5fH0qVLWbp0KRkZGSxatMgrMQthNCmJUYwfKEunbZ2srGfbsUpMptaZyWAhyZsQ3TAxJYE+ceHUNLWw7nCZ1uForr65hU/dS8gX2u+WmZlJVlYW6enp3Xr+4uJiXC4XhYWFZGVl9ShWIYyuden0lMaR6MPbO5Ul5GlpifSJi9A4Gv+S5E2IbjCbTW2O7cvo97NDpTTalZY0o/rFaR2OEAFN7bO8ubhCCvYCb+9Uktgbxg/QOBL/k+RNiG66xj3DtGbfGZpbnBpHo622S6a+aEmzevVqcnNzycnJYfny5Rf82qamJqqrq9u9CRFIBiZEMSHFisvV+n8vWB05V8u+09WEmE2ee3IwkeRNiG6a7G7/VN3YwobC4F06bW5xsna/UhzTF10VMjMzWbBgAYsWLSIrK4uMjAwWL17c6devXLmS+Ph4z1tKSorXYxJCa19yL53+L8hPnb7lnnWbPbQXCdFhGkfjf5K8CdFNFrOJq8coJ5veC8Kl09zcXBYvXsx13/oxNU0thLbUs/InS1m8eHG7t4KCgh69Tnp6ers9ckuWLCE3Nxebzdbh169YsYKqqirP24kTJ3r0+kLokXriPf9oBWerg3Pp1OVy8T91yXRCf42j0UaI1gEIYUTXju3HfzYd54N9Z/iNY0zQtGQBWLRoEYsWLeLeFws4vOs0X5s7ml9c/4rXXyc3N7fd6VKr1QpAUVERmZmZ5319eHg44eHhXo9DCD0ZYI0kM9VKwXEb7+0+zZ2z0rQOye/2nqqmqKyO8BAzC0cF35IpyMybEJdk6uBEkqLDsNXb2VzUtdIXgaS60c6afUpxzJszvb9Z2GazsXjxYoqKitp9DOj2iVUhAs1145TZpneCtNepumS6YGQfYsKDcw5KkjchLkGIxcyV7rpm7+wOvmP77+0+TXOLk6HJMYzu3/VTpp3VeCsqKmLVqlWe961WK8uWLWuXqOXk5LBo0SLPDJwQwUqtN5l/tJJTtgaNo/Evp9PlOWV6/fjgqu3WliRvQlyi69tsHA62XqevFZQA8OXMAV06ZaomZ9nZ2RQUFJzXLSEvL4/s7Ox2j1mxYgWrVq3yvJWXl/PKK95fnhXCaPrFRzItLRGA3G0nNY7Gv7Ydr+R0VSOx4SHMGx48vUy/yORyuVxaByGEETmdLmav+pgSWwOP3zaBGycER62hElsDs37/EQAbHryC/tZIjSPqWHV1NfHx8VRVVREXJzXoRGB5reAk96/eycCESD574HLMZu+X6tGjn7+xh39vOsYtmQP505LxWoejGZl5E+ISmc0mFk0aCMArW4Nn9PvGdmXWbXp6om4TNyEC3TVj+hEbHsLJygY2FJZrHY5fNLc4Pfv8gvWUqUqSNyF6QE3e1heWcbKyXuNofM/lcvG6O3m7eeJAjaMRInhFhlm4caKSwLy8NTjK4qzdf5aKumaSY8OZlZGkdTiakuRNiB5ISYxiZkYSLhe8uq1E63B8bk9JNUfO1RIeYuaascF5RF8Ivbh1cioAH+w5Q2Vds8bR+N5L+UqSunjyQEKCqDxTR4L7by+EFyyerMxA5RacwOkM7C2kr21XlocXjupDbESoxtEIEdzGDIhjZL84mh1O3tgR2IPHk5X1fHa4FIAlk6V7iiRvQvTQ1aOVvScnKhrYVBy4e08a7Q7Pfjdf1HYTQnSPyWTitilKIvNy/gkC+fzhK1tP4nLBzIwkBiVFax2O5iR5E6KHIsMsfMldbyg3gA8ufLD3DJX1dvrHRzB3WPAe0RdCT26aMICwEDMHztSwu6RK63B8wuF08Yp7X9+tU2TWDSR5E8IrFrun8d/dc5qaRrvG0fjGC5uPA3DrlFQsQVKWQAi9i48K5Zoxyv5TdU9YoPn8cCmnqhqxRoVy1WjZawuSvAnhFRNTrGT0jqbR7uSdXYHXsubIuRq2FFdgMZtk5CuEztzqHjy+veMU9c0tGkfjfS+7k9IvTxxARKhF42j0QZI3IbzAZDJ5Zt9WB+Cx/Rc3K3+nK0Yk0zc+QuNohBBtTU9PIiUxkpqmFt7dfUbrcLyqrLbJ00dZBo6tJHkTwktunjgAi9lEwXEbB8/UaB2O1zTaHbxaoOzlu31qqsbRCCG+yGw2eWbfVgfY0ulrBSdpcbqYkGJlRF/plKKS5E0IL0mOi+DKUX0AeHZ9scbReM+7u09T1WBngDWSOcN6ax2OEKIDiyalYDbBlqMVFJXWah2OV7hcLs8+vttk1q0dSd6E8KK7LksD4LXtJZTXNmkcjXe86D6ocNuUFDmoIIRO9Y2PYK57cBUoHRc2F1dQVFpHVJiFL40P7nZYXyTJmxBeNHlQAuMGxtPc4vQkPUZ24Ew1W49VYjGbWCIjXyF07dYpyraGV7eV0Nzi1Diannv6syIAbpo4gJjwEI2j0RdJ3oTwIpPJxF2zlNm3f206Zvgb6NOfKcu/V43uQ584OagghJ7NH5lMcmw4ZbVNvL3zlNbh9MjhszWsPXAOkwnumZ2udTi6I8mbEF527dh+JMeGU1rTxDu7jXsDPV3VwFs7lY4KcvMUQv9CLWa+6R48Zn9WaOiOC//4XBk4XjmqD2m9pKPCF0nyJoSXhYWY+cbMwQA8s67YsDfQZ9cfxe5wMS0tkYmpCVqHI4TogtunpRITHsKhs7V8fPCc1uFcknPVjbzubsWXNUcGjh2R5E0IH/jK1FTCQ8zsKakm/2il1uF0W1WD3bNnb+lcuXkKYRTxkaHcPk3Z+/bUp0UaR3NpnttwlGaHk0mDEpg0KFHrcHRJkjchfCAxOoybMwcC8Mw6491AX9x8nNqmFob1iWGe9DEVwlC+OWswoRYTW4orKDhurMFjXVML/9l0DJBZtwuR5E0IH7lr1mAAPtx3luPl9doG0w1NLQ5PnbqsORmYpTyIEIbSLz6SGycMACDHYLNvL+efoLqxhbRe0SwY2UfrcHRLkjchfGRon1jmDOuNywX/MNDs25vbT3Gupom+cRHcILWVhDAkddbqg31nDFO0t8Xh5Jl1ysDx7tlpUlfyAiR5E8KHvu3eL/bSlhOcqWrUOJqLczpdZH9WCMBdlw0mLERuEUIY0bA+scwfkYzLBU9/boyOL+/uOUOJrYGk6DBucW87ER2TO7MQPjQjPYmpgxNpdjh56tNCrcO5qA/3naWwtI7Y8BC+In1MhTC0pXMzAHi14CTnqvU9eHQ6XWS775FfnzGYiFCLxhHpmyRvQviQyWTiBwuGAvDiluOc1fENtMXh5I8fHgTgGzMHExsRqnFEQoiemDI4gcmDEmhucfKXjw5rHc4FvbfnDHtPVRMdZuFrMwZpHY7uSfImhI/NzEhqvYGu1e8N9NWCkxw5V4s1KpQsKQ8ihOGZTCYeuGo4oGzdOFpWp3FEHWtxOPnTGmXgePfsdBKjwzSOSP8keRPCx9rdQPNPUKjDzcMNzQ4eXaMklt+7fAhxMusmRECYlp7EvOG9aXG6+POaQ1qH06FXC05SVFpHQlQod89O0zocQ5DkTQg/mJaexIKRyTicLla9f0DrcM7z3IajnKluZIA1UpYshAgw6uDxrZ2n2HuqSuNo2mu0O3g8Txk43nv5ENmu0UWSvAnhJ8uvHoHZBB/sPcu2YxVah+Nhq2/myU+OAPDjK4cRHiIbhYUIJKP7x3vK/vz+vQO6atn3j8+LOFXVSL/4CO6YLgPHrpLkTQg/GdonliWTUwB4+O19OJz6uIE+8dERahpbGNE31lPYUwgRWH585TDCLGY+P1zGB3vPah0OAKdsDfztY+WE6YPXjJATpt0gyZsQfnT/lcOIjQhh18kqXth8TOtwOHCmmuc2HAWUm6cUxRQiMA1KivYU7v31//ZR39yicUTwu3f302B3MGVwghQE7yZJ3oTwo+TYCJa595/84f2DmtZecjpdrHhtNy1OF9eM6cu84dLDVIhAdu/lQxhgjaTE1sATHx3RNJYNR8r4367TmE3wyxtGYzLJwLE7JHkTws9unzaI8QPjqWlq4dfv7Ncsjhe3HGf7cRsx4SE8dP1ozeIQQvhHZJiFh64fBcDTnxdx6GyNJnHUN7ew/LVdANw+LZXR/eM1icPIJHkTws8sZhO//fJYzCZ4e+cpPtx7xu8xlNgaeOQ95dTrT64cRt/4CL/HIITwv4Wj+rBgZDJ2h4sfvbyD5han32NY9f5BTlQ0MMAayfKrR/j99QOBJG9CaGDMgHjuma3sP1n+6i6/dl5wOJWbdk1TCxNSrHxtxmC/vbYQQlsmk4nffXks1qhQ9p6q5gk/d17YVFTu2Wf7+1vGSmmQSyTJmxAa+fGVwxkzII7Kejv3r96B00+nT7M/K2RLcQXRYRYev22CHFIQIsgkx0Xwm5vGAPC3TwrJP+qf0kVltU384KXtAHxlagqzh/b2y+sGIknehNBIWIiZx2+bSGSohfVHyvm7HxrXbyws588fKlXWf3nDaAYlRfv8NYUQ+vOlcf25aUJ/HE4X332hwOeHpxxOFz98aQdnq5sYkhzDz64b5dPXC3SSvAmhoYzeMfzyBuUm9scPD/p0/9uJinrufbGAFqeLL08cwKJJA332WkII/fvtl8cyrE8MpTVNfPeFAp/uf/vjhwdZd6SMyFALf/9qJtHhIT57rWAgyZsQGlsyOYWvTR+EywU/eGkHe0q8376msq6Zbz2fT0VdM2MHxLPy5rFyNF+IIBcdHkL21yYTGx7C1mOV/Gj1Dp8UD39h8zH+/omysvD7W8YytE+s118j2EjyJoTGTCYTD10/itlDe9Fgd/CNf27hwJlqrz1/TaOdbzy7hUNna+kTF0721yZJJXMhBABpvaJ54quZhFpMvLPrNP/3+m6vts/6365T/PyNPQD8aMEw6eLiJZK8CaEDIRYzT9yeybiB8ZTXNXP705vZd6rnCVxFXTPf+OcWdp2sIjE6jBfunkZ/a6QXIhZCBIq5w3rz+G0TMZvgpfwT/PzNPbQ4er6E+lrBSe7773acLrhtSgr3zR/ihWgFgMmlpw61QgS5qgY7X3tmM7tOVhETHsKfl4znytF9L+m5isvquOu5fIrL6oiNCOG/90xnzADtimGuWrUKgMJCZfkkOzu7S4+xWq0A2Gw2li1b1uXXq66uJj4+nqqqKuLi4rofsBBBZvXWEyzLVYrnXjEimb98ZSIxl7A3zeF08XjeIf7i7uJw6+QUfnfzWDnZ7kWSvAmhM1UNdrL+tZXNxcrx/aVz0/nRgmFdXup0uVy8WlDCL9/aS21TCwOskTz3zSma7jNZvnw5jzzyiOf9pUuXUlRUxJo1azp9jJrsqQlbXl4er7zySpeSPpDkTYhL8d7u0/zw5R00tThJ7xXNH5eMJzM1ocuPP2Vr4MHXdvPZoVIA7pqVxs+uG4lZEjevkuRNCB2yO5z89p39nmKWqYlR3L9wGNeO7UdYSMe7HVwuF/lHK/nDBwfIP1oJwJTBCfztq5kkx2rXQcFms7F48WJeeeUVzyxaQUEBkyZNorCwkPT09A4fl5CQQHFxsecxoOwP7OotS5I3IS7N9uOVfOc/BZxxlw/50rh+/OTK4Qzu1XlpoepGO8+vP8qTnxTSYHcQEWpm5c1j+fJEOdXuC5K8CaFjH+w9w8/f2MO5miYAkqLDuG5cPzJTE+gTF0GIxUR5bTN7T1Xx3p4zHDlXC0BEqJnvXzGUb8/N0HypwmazkZaWxtq1a8nMzPR8LCEhgW3btnk+1lZRUREZGRnnJWomk4k1a9awYMGCi76uJG9CXLrKumZ+885+Xtt+EvW/4fgUK1eN7sPIfnFEhlpwOl0Ultby2eEy1h8po77ZASiDxt/cNJbhfeVUqa9IoRUhdOyq0X25bEgv/rmumP9sPsbZ6ib+tfEY/9p4rMOvjwg18+WJA/jBfP30K7VarVRWVrb7WF5eHkCns25FRUWdPpfNZuvwc01NTTQ1NXner6723oldIYJNQnQYf1oynm9dlsaqDw7w6aFSdp6wsfOErdPHDOsTw72XD+GG8f2lFJGPSfImhM5Fh4fw/flD+c68DD49VMqnh0o5cLqG8romHE4XcZGhDOkdw4yMJK4e09cQvQJXrlxJdnZ2uyXRrkhMTKSiouNWPitXruThhx/2QnRCCNWo/nE8982pnKtu5IN9Z1l3uJRj5fXY3adR+1sjmZ6exJyhvRkzIE6SNj+RZVMhRLfk5uby8ssvX/TrVqxY0eGS6PLly0lKSrrgydG8vDwWLlx43rJpQkICjzzyCFlZWec9pqOZt5SUFFk2FUIEHEnehBB+k5ubS0VFRYfJV1uy500IITonRXqFEH6h7nNTEzebzdbp3rb09HSsVmuHn+9K4iaEEIFMkjchhM8VFBRQUFBAZmYmRUVFFBUVkZOTQ2JiIqDMtKl13VQrVqzwJHygzNpdbMZOCCGCgSybCiF8Si0V0tEpUfX2k5OTwyOPPOLpvqBatWqV50Rqfn5+u0K/FyPLpkKIQCXJmxAiIEnyJoQIVLJsKoQQQghhIJK8CSGEEEIYiCRvQgghhBAGIsmbEEIIIYSBSPImhBBCCGEgkrwJIYQQQhiIJG9CCCGEEAYiyZsQQgghhIFI8iaEEEIIYSCSvAkhhBBCGIgkb0IIIYQQBiLJmxBCCCGEgUjyJoQQQghhIJK8CSGEEEIYiMnlcrm0DkIIIbzN5XJRU1NDbGwsJpNJ63CEEMJrJHkTQgghhDAQWTYVQgghhDAQSd6EEEIIIQxEkjchhBBCCAOR5E0IIYQQwkAkeRNCCCGEMBBJ3oQQQgghDESSNyGEEEIIA/l/fPrEh4xH/zUAAAAASUVORK5CYII="
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "<sympy.plotting.plot.Plot at 0x1a199c4d9d0>"
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sympy.plotting import plot\n",
    "from sympy.abc import x, pi\n",
    "from sympy.functions import sin, cos\n",
    "\n",
    "plot((2 * sin(x), (x, -6, 6)), (cos(x + pi / 4), (x, -5, 5)))"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-04-19T13:36:21.842183Z",
     "start_time": "2024-04-19T13:36:21.618180Z"
    }
   },
   "id": "bd7a47fbe098d30",
   "execution_count": 4
  },
  {
   "cell_type": "markdown",
   "source": [
    "例3.4 画出三维锥曲面$z=sin(\\sqrt{x^2+y^2})$"
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "6b1d360be05ab8e9"
  },
  {
   "cell_type": "code",
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "<sympy.plotting.plot.Plot at 0x1a199ec6160>"
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from matplotlib.pyplot import rc\n",
    "from sympy.plotting import plot3d\n",
    "from sympy.abc import x, y\n",
    "from sympy.functions import sin, sqrt\n",
    "\n",
    "rc('text', usetex=True)\n",
    "rc('font', size=12)\n",
    "plot3d(sin(sqrt(x ** 2 + y ** 2)), (x, -10, 10), (y, -10, 10), xlabel='$x$', ylabel='$y$')"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-04-19T13:36:26.820898Z",
     "start_time": "2024-04-19T13:36:26.579555Z"
    }
   },
   "id": "750c41dba262a49b",
   "execution_count": 5
  },
  {
   "cell_type": "markdown",
   "source": [
    "例3.5 绘制隐函数$(x-1)^2+(y-2)^3-4=0$的图形"
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "c1ab7ead5c8884dd"
  },
  {
   "cell_type": "code",
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "<sympy.plotting.plot.Plot at 0x1a19a4eb7c0>"
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from matplotlib import rc\n",
    "from sympy import plot_implicit as pt, Eq\n",
    "from sympy.abc import x, y\n",
    "\n",
    "rc('text', usetex=True)\n",
    "rc('font', size=12)\n",
    "pt(Eq((x - 1) ** 2 + (y - 2) ** 3, 4), (x, -6, 6), (y, -2, 4), xlabel='$x$', ylabel='$y$')"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-04-20T02:56:43.815832Z",
     "start_time": "2024-04-20T02:56:43.319891Z"
    }
   },
   "id": "b8bd52c2be8661cc",
   "execution_count": 9
  },
  {
   "cell_type": "markdown",
   "source": [
    "或者使用匿名函数"
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "87509243438925d8"
  },
  {
   "cell_type": "code",
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "<sympy.plotting.plot.Plot at 0x1a199f007c0>"
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sympy import plot_implicit as pt\n",
    "from sympy.abc import x, y\n",
    "\n",
    "ezplot = lambda expr: pt(expr)\n",
    "ezplot((x - 1) ** 2 + (y - 2) ** 3 - 4)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-04-20T02:49:21.303943Z",
     "start_time": "2024-04-20T02:49:20.827951Z"
    }
   },
   "id": "714757534eb3f147",
   "execution_count": 7
  },
  {
   "cell_type": "markdown",
   "source": [
    "## 3.4 高等数学问题的符号解"
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "28b66f378c8c1f39"
  },
  {
   "cell_type": "markdown",
   "source": [
    "例3.6 验证$\\lim\\limits_{x\\to0}\\frac{sinx}{x}=1$, $\\lim\\limits_{x\\to+\\infty}(1+\\frac{1}{x})^x=e$"
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "27b5755ecc3890ed"
  },
  {
   "cell_type": "code",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1\n",
      "E\n"
     ]
    }
   ],
   "source": [
    "from sympy import *\n",
    "\n",
    "x = symbols('x')\n",
    "print(limit(sin(x) / x, x, 0))\n",
    "print(limit(pow(1 + 1 / x, x), x, oo))  #这里时两个小”o“，表示正无穷"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-04-20T03:09:27.189615Z",
     "start_time": "2024-04-20T03:09:27.154334Z"
    }
   },
   "id": "93a4b16092b9d3e0",
   "execution_count": 13
  },
  {
   "cell_type": "markdown",
   "source": [
    "例3.7 已知$z=sinx + x^2e^y$, 求$\\frac { \\partial ^ { 2 } z } { \\partial x ^ { 2 } }, \\frac{\\partial{z}}{\\partial{y}}$"
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "74091a4506e58ab8"
  },
  {
   "cell_type": "code",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "关于x的二阶偏导数为：  2*exp(y) - sin(x)\n",
      "关于y的一阶偏导数为：  x**2*exp(y)\n"
     ]
    }
   ],
   "source": [
    "from sympy import *\n",
    "\n",
    "x, y = symbols('x y')\n",
    "z = sin(x) + x ** 2 * exp(y)\n",
    "print(\"关于x的二阶偏导数为： \", diff(z, x, 2))\n",
    "print(\"关于y的一阶偏导数为： \", diff(z, y))"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-04-20T03:21:11.615148Z",
     "start_time": "2024-04-20T03:21:11.593096Z"
    }
   },
   "id": "31d3605bb13dd141",
   "execution_count": 14
  },
  {
   "cell_type": "markdown",
   "source": [
    "例3.8 验证$$\\sum_{ k = 1 } ^ { n } k ^ { 2 } = \\frac { n ( n + 1 ) ( 2 n + 1 ) } { 6 }$$, $$\\sum _ { k = 1 } ^ { \\infty } \\frac { 1 } { k ^ { 2 } } = \\frac { \\pi ^ { 2 } } { 6 }$$"
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "7e456dea8858cbce"
  },
  {
   "cell_type": "code",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "n**3/3 + n**2/2 + n/6\n",
      "n*(n + 1)*(2*n + 1)/6\n",
      "pi**2/6\n"
     ]
    }
   ],
   "source": [
    "from sympy import *\n",
    "\n",
    "k, n = symbols('k n')\n",
    "print(summation(k ** 2, (k, 1, n)))\n",
    "print(factor(summation(k ** 2, (k, 1, n))))  #把计算结果因式分解\n",
    "print(summation(1 / k ** 2, (k, 1, oo)))"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-04-20T03:40:54.911910Z",
     "start_time": "2024-04-20T03:40:54.815870Z"
    }
   },
   "id": "841422554446a680",
   "execution_count": 16
  },
  {
   "cell_type": "markdown",
   "source": [
    "例3.9 写出sinx在0点处的 3，5，7阶泰勒展开式，并在同一图形界面上画出sinx及它的上述各阶泰勒展开式在区间[0,2]上的图形"
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "559d18139c3cbf5b"
  },
  {
   "cell_type": "code",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "x + O(x**3)\n",
      "x - x**3/6 + O(x**5)\n",
      "x - x**3/6 + x**5/120 + O(x**7)\n"
     ]
    },
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "<sympy.plotting.plot.Plot at 0x1a19c15cdf0>"
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from matplotlib.pylab import rc\n",
    "from sympy import *\n",
    "from sympy.plotting import *\n",
    "\n",
    "rc('font', size=14)\n",
    "rc('text', usetex=True)\n",
    "x = symbols('x')\n",
    "y = sin(x)\n",
    "for k in range(3, 8, 2):\n",
    "    print(y.series(x, 0, k))\n",
    "plot(y, series(y, x, 0, 3).removeO(), series(y, x, 0, 5).removeO(), series(y, x, 0, 7).removeO(), (x, 0, 2),\n",
    "     xlabel='$x$', ylabel='$y$')"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-04-20T04:23:33.872719Z",
     "start_time": "2024-04-20T04:23:16.861769Z"
    }
   },
   "id": "3e30a1ea49e1db2b",
   "execution_count": 21
  },
  {
   "cell_type": "markdown",
   "source": [
    "例3.10 验证$\\int _ { 0 } ^ { \\pi } \\sin ( 2 x ) d x = 0$, $\\int _ { 0 } ^ { + \\infty } \\frac { \\sin x } { x } d x = \\frac { \\pi } { 2 }$"
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "f303fb9c1e2cee5e"
  },
  {
   "cell_type": "code",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0\n",
      "pi/2\n"
     ]
    }
   ],
   "source": [
    "from sympy import integrate,symbols,sin,pi,oo\n",
    "x=symbols('x')\n",
    "print(integrate(sin(2*x),(x,0,pi)))\n",
    "print(integrate(sin(x)/x,(x,0,oo)))"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-04-20T04:42:04.197869Z",
     "start_time": "2024-04-20T04:42:03.873034Z"
    }
   },
   "id": "38e2e8dff55aadf3",
   "execution_count": 22
  },
  {
   "cell_type": "markdown",
   "source": [
    "例3.11 求如下代数方程：\n",
    "（1）$x^3=1$；（2）$(x-2)^2(x-1)^3=0$"
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "3c098530ebddb960"
  },
  {
   "cell_type": "code",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1, -1/2 - sqrt(3)*I/2, -1/2 + sqrt(3)*I/2]\n",
      "[1, 2]\n",
      "{2: 2, 1: 3}\n"
     ]
    }
   ],
   "source": [
    "from sympy import *\n",
    "x,y=symbols('x y')\n",
    "print(solve(x**3-1,x))\n",
    "print(solve((x-2)**2*(x-1)**3,x))\n",
    "print(roots((x-2)**2*(x-1)**3,x))"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-04-20T04:46:52.773311Z",
     "start_time": "2024-04-20T04:46:52.732241Z"
    }
   },
   "id": "8fd36883ebecb1cd",
   "execution_count": 24
  },
  {
   "cell_type": "markdown",
   "source": [
    "例3.12 求解如下代数方程组\n",
    "$$\\left\\{ \\begin{array} { l } { x ^ { 2 } + y ^ { 2 } = 1 } \\\\ { x - y = 0 } \\end{array} \\right.$$"
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "f793b157b9038016"
  },
  {
   "cell_type": "code",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "方程组的解为： [(-sqrt(2)/2, -sqrt(2)/2), (sqrt(2)/2, sqrt(2)/2)]\n"
     ]
    }
   ],
   "source": [
    "from sympy.abc import x,y\n",
    "from sympy import solve\n",
    "s=solve([x**2+y**2-1,x-y],[x,y])\n",
    "print(\"方程组的解为：\",s)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-04-20T04:53:12.225870Z",
     "start_time": "2024-04-20T04:53:12.180106Z"
    }
   },
   "id": "5b433259444898a6",
   "execution_count": 25
  },
  {
   "cell_type": "markdown",
   "source": [
    "例3.13 求函数$f(x)=2x^3-5x^2+x$的驻点，并求函数在[0,1]上的最大值"
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "a3b017c09caa0a8f"
  },
  {
   "cell_type": "code",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "驻点的精确解为 [5/6 - sqrt(19)/6, sqrt(19)/6 + 5/6]\n",
      "驻点的浮点数表示为： [0.106850176076554, 1.55981649059011]\n",
      "三个点的函数值分别为： [0, -2, 0.0522051838383851]\n"
     ]
    }
   ],
   "source": [
    "from sympy import *\n",
    "x=symbols('x')\n",
    "y=2*x**3-5*x**2+x\n",
    "x0=solve(diff(y,x),x)   #求驻点\n",
    "print(\"驻点的精确解为\",x0)\n",
    "print(\"驻点的浮点数表示为：\",[x0[i].n() for i in range(len(x0))]) #列表中的符号数无法整体转换为浮点数\n",
    "y0=[y.subs(x,0),y.subs(x,1),y.subs(x,x0[0]).n()]    #代入区间端点和一个驻点的值\n",
    "print(\"三个点的函数值分别为：\",y0)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-04-20T05:03:26.038860Z",
     "start_time": "2024-04-20T05:03:25.972460Z"
    }
   },
   "id": "693aaa3b3e613ef2",
   "execution_count": 26
  },
  {
   "cell_type": "markdown",
   "source": [
    "例3.14 求下列微分方程的通解：\n",
    "（1）齐次方程：$y ^ { \\prime \\prime } - 5 y ^ { \\prime } + 6 y = 0$\n",
    "（2）非齐次方程：$y ^ { \\prime \\prime } - 5 y ^ { \\prime } + 6 y = x e ^ { 2 x }$"
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "6d6c55042770dd8"
  },
  {
   "cell_type": "code",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "齐次方程的解为： Eq(y(x), (C1 + C2*exp(x))*exp(2*x))\n",
      "非齐次方程的解为： Eq(y(x), (C1 + C2*exp(x) - x**2/2 - x)*exp(2*x))\n"
     ]
    }
   ],
   "source": [
    "from sympy import *\n",
    "x=symbols('x')\n",
    "y=symbols('y',cls=Function)\n",
    "eq1=diff(y(x),x,2)-5*diff(y(x),x)+6*y(x)\n",
    "eq2=diff(y(x),x,2)-5*diff(y(x),x)+6*y(x)-x*exp(2*x)\n",
    "print(\"齐次方程的解为：\",dsolve(eq1,y(x)))\n",
    "print(\"非齐次方程的解为：\",dsolve(eq2,y(x)))"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-04-20T08:40:06.325726Z",
     "start_time": "2024-04-20T08:40:05.353343Z"
    }
   },
   "id": "2c07e86a28f139fd",
   "execution_count": 27
  },
  {
   "cell_type": "markdown",
   "source": [
    "例3.15 求下列微分方程的解：\n",
    "（1）初值问题：$y ^ { \\prime \\prime } - 5 y ^ { \\prime } + 6 y = 0 , y ( 0 ) = 1 , y ^ { \\prime } ( 0 ) = 0$\n",
    "（2）初值问题：$y ^ { \\prime \\prime } - 5 y ^ { \\prime } + 6 y = x e ^ { 2 x } , y ( 0 ) = 1 , y ( 2 ) = 0$"
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "ac86a30376b6c7b4"
  },
  {
   "cell_type": "code",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "初值问题的解为：Eq(y(x), (3 - 2*exp(x))*exp(2*x))\n",
      "边值问题的解为：Eq(y(x), (-x**2/2 - x + 3*exp(x)/(-1 + exp(2)) + (-4 + exp(2))/(-1 + exp(2)))*exp(2*x))\n"
     ]
    }
   ],
   "source": [
    "from sympy import *\n",
    "x=symbols('x')\n",
    "y=symbols('y',cls=Function)\n",
    "eq1=diff(y(x),x,2)-5*diff(y(x),x)+6*y(x)\n",
    "eq2=diff(y(x),x,2)-5*diff(y(x),x)+6*y(x)-x*exp(2*x)\n",
    "print(\"初值问题的解为：{}\".format(dsolve(eq1,y(x),ics={y(0):1,diff(y(x),x).subs(x,0):0})))\n",
    "y2=dsolve(eq2,y(x),ics={y(0):1,y(2):0})\n",
    "print(\"边值问题的解为：{}\".format(y2))"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-04-20T08:51:48.330870Z",
     "start_time": "2024-04-20T08:51:47.029037Z"
    }
   },
   "id": "21485e5f17ec5e18",
   "execution_count": 28
  },
  {
   "cell_type": "markdown",
   "source": [
    "## 3.5 高等数学问题的数值解\n",
    "### 3.5.1 泰勒级数与数值导数"
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "27636de986573ad8"
  },
  {
   "cell_type": "code",
   "outputs": [],
   "source": [],
   "metadata": {
    "collapsed": false
   },
   "id": "d3aa34a8cba4f4e0"
  }
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